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Finding the Fourth Proportional to 82,147.52, 123,221.88 and 28,836.96

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Solution

The fourth proportional to 82,147.52, 123,221.88 and 28,836.96 is: 43,255.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,147.52 : 123,221.88 = 28,836.96 : x
  2. Step 2: Convert to fraction form
    82,147.52/123,221.88 = 28,836.96/x
  3. Step 3: Cross multiply
    82,147.52x = 123,221.88 × 28,836.96
  4. Step 4: Simplify right side
    82,147.52x = 3,553,344,424.68
  5. Step 5: Solve for x
    x = 3,553,344,424.68/82,147.52
  6. Step 6: Final answer
    x = 43,255.65

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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.