Finding the Fourth Proportional to 102,093.22, 153,139.83 and 31,978

Step by Step Solution

1. Step 1: Write the proportion equation
   102,093.22 : 153,139.83 = 31,978 : x
2. Step 2: Convert to fraction form
   102,093.22/153,139.83 = 31,978/x
3. Step 3: Cross multiply
   102,093.22x = 153,139.83 × 31,978
4. Step 4: Simplify right side
   102,093.22x = 4,897,105,483.74
5. Step 5: Solve for x
   x = 4,897,105,483.74/102,093.22
6. Step 6: Final answer
   x = 47,967