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Finding the Fourth Proportional to 102,361.92, 153,470.16 and 39,128.78

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Solution

The fourth proportional to 102,361.92, 153,470.16 and 39,128.78 is: 58,665.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,361.92 : 153,470.16 = 39,128.78 : x
  2. Step 2: Convert to fraction form
    102,361.92/153,470.16 = 39,128.78/x
  3. Step 3: Cross multiply
    102,361.92x = 153,470.16 × 39,128.78
  4. Step 4: Simplify right side
    102,361.92x = 6,005,100,127.20
  5. Step 5: Solve for x
    x = 6,005,100,127.20/102,361.92
  6. Step 6: Final answer
    x = 58,665.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.