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Finding the Fourth Proportional to 82,789.62, 124,209.12 and 38,453.64

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Solution

The fourth proportional to 82,789.62, 124,209.12 and 38,453.64 is: 57,691.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,789.62 : 124,209.12 = 38,453.64 : x
  2. Step 2: Convert to fraction form
    82,789.62/124,209.12 = 38,453.64/x
  3. Step 3: Cross multiply
    82,789.62x = 124,209.12 × 38,453.64
  4. Step 4: Simplify right side
    82,789.62x = 4,776,292,785.20
  5. Step 5: Solve for x
    x = 4,776,292,785.20/82,789.62
  6. Step 6: Final answer
    x = 57,691.93

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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.