The calculated distance (air line) between Ōkuchi-shinohara and Fukuoka is approximately 107 miles respectively 171 kilometers.
By car or train, the actual journey to Fukuoka is certainly longer, as only the direct route (as the crow flies) between Ōkuchi-shinohara and Fukuoka has been calculated here.
Air line (approximately)
171 kilometers
93 nautical miles