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Finding the Fourth Proportional to 82,481.26, 123,721.92 and 47,398.54

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Solution

The fourth proportional to 82,481.26, 123,721.92 and 47,398.54 is: 71,097.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,481.26 : 123,721.92 = 47,398.54 : x
  2. Step 2: Convert to fraction form
    82,481.26/123,721.92 = 47,398.54/x
  3. Step 3: Cross multiply
    82,481.26x = 123,721.92 × 47,398.54
  4. Step 4: Simplify right side
    82,481.26x = 5,864,238,374.00
  5. Step 5: Solve for x
    x = 5,864,238,374.00/82,481.26
  6. Step 6: Final answer
    x = 71,097.83

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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.