Finding the Fourth Proportional to 102,142.25, 153,214.47 and 31,076.42

Step by Step Solution

1. Step 1: Write the proportion equation
   102,142.25 : 153,214.47 = 31,076.42 : x
2. Step 2: Convert to fraction form
   102,142.25/153,214.47 = 31,076.42/x
3. Step 3: Cross multiply
   102,142.25x = 153,214.47 × 31,076.42
4. Step 4: Simplify right side
   102,142.25x = 4,761,356,453.73
5. Step 5: Solve for x
   x = 4,761,356,453.73/102,142.25
6. Step 6: Final answer
   x = 46,614.96