Is a transmission of a ford bronco compatible to a 1985 Ford Ranger 4x4?

If you are speaking of the full-size Bronco, then no. The automatic in the Bronco was either the E6, AOD, or E4OD, none of which were utilized by the 1985 Ranger. The Ranger used a few different types of Mazda and Mitsubishi transmissions in 1985.