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Finding the Fourth Proportional to 89,691.76, 123,774.62 and 51,987.88

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Solution

The fourth proportional to 89,691.76, 123,774.62 and 51,987.88 is: 71,743.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,691.76 : 123,774.62 = 51,987.88 : x
  2. Step 2: Convert to fraction form
    89,691.76/123,774.62 = 51,987.88/x
  3. Step 3: Cross multiply
    89,691.76x = 123,774.62 × 51,987.88
  4. Step 4: Simplify right side
    89,691.76x = 6,434,780,091.61
  5. Step 5: Solve for x
    x = 6,434,780,091.61/89,691.76
  6. Step 6: Final answer
    x = 71,743.27

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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.