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Finding the Fourth Proportional to 82,151.52, 123,227.20 and 19,822

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Solution

The fourth proportional to 82,151.52, 123,227.20 and 19,822 is: 29,732.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,151.52 : 123,227.20 = 19,822 : x
  2. Step 2: Convert to fraction form
    82,151.52/123,227.20 = 19,822/x
  3. Step 3: Cross multiply
    82,151.52x = 123,227.20 × 19,822
  4. Step 4: Simplify right side
    82,151.52x = 2,442,609,558.40
  5. Step 5: Solve for x
    x = 2,442,609,558.40/82,151.52
  6. Step 6: Final answer
    x = 29,732.98

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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.