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Finding the Fourth Proportional to 125,251.28, 172,864.56 and 77,520

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Solution

The fourth proportional to 125,251.28, 172,864.56 and 77,520 is: 106,988.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,251.28 : 172,864.56 = 77,520 : x
  2. Step 2: Convert to fraction form
    125,251.28/172,864.56 = 77,520/x
  3. Step 3: Cross multiply
    125,251.28x = 172,864.56 × 77,520
  4. Step 4: Simplify right side
    125,251.28x = 13,400,460,691.20
  5. Step 5: Solve for x
    x = 13,400,460,691.20/125,251.28
  6. Step 6: Final answer
    x = 106,988.61

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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.