Finding the Fourth Proportional to 102,111.64, 153,167.34 and 31,996.42

Step by Step Solution

1. Step 1: Write the proportion equation
   102,111.64 : 153,167.34 = 31,996.42 : x
2. Step 2: Convert to fraction form
   102,111.64/153,167.34 = 31,996.42/x
3. Step 3: Cross multiply
   102,111.64x = 153,167.34 × 31,996.42
4. Step 4: Simplify right side
   102,111.64x = 4,900,806,540.92
5. Step 5: Solve for x
   x = 4,900,806,540.92/102,111.64
6. Step 6: Final answer
   x = 47,994.59