If you're looking for a meeting place or a good stop around ½ or halfway between Fairburn and Columbus, GA, you can try Whitfield, GA, which is almost an hour southwest of Fairburn, or almost an hour north of Columbus, GA.
Another possible place to stop near the midpoint is Knott.
About ¼ or a fourth of the way, you can stop at Newnan, GA. This is about 19 minutes southwest of Fairburn.
About ⅓ or a third of the way, you can stop at Grantville, GA. This is about half an hour southwest of Fairburn.
About ⅔ or two thirds of the way, you can stop at Andersons Corner, GA. This is almost an hour southwest of Fairburn, or about half an hour north of Columbus, GA.
About ¾ or three fourths of the way, you can stop at Clines Crossroads, GA. This is about 1 hour southwest of Fairburn, or about half an hour north of Columbus, GA.
If you drive straight through without stopping at all, the total distance is 90 miles. The distances shown above don't include local roads to get into each town, so if you're planning a long road trip, make sure you factor in traffic and road conditions, rest stop breaks, and interesting detours along the way. If you're in a rush, you can do the trip with zero stops, and your total travel time would be around 1 hour, 26 minutes.