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Finding the Fourth Proportional to 123,644.04, 170,640.11 and 77,711.15

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Solution

The fourth proportional to 123,644.04, 170,640.11 and 77,711.15 is: 107,248.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,644.04 : 170,640.11 = 77,711.15 : x
  2. Step 2: Convert to fraction form
    123,644.04/170,640.11 = 77,711.15/x
  3. Step 3: Cross multiply
    123,644.04x = 170,640.11 × 77,711.15
  4. Step 4: Simplify right side
    123,644.04x = 13,260,639,805.10
  5. Step 5: Solve for x
    x = 13,260,639,805.10/123,644.04
  6. Step 6: Final answer
    x = 107,248.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.