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Finding the Fourth Proportional to 82,876.52, 124,115.10 and 51,672.68

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Solution

The fourth proportional to 82,876.52, 124,115.10 and 51,672.68 is: 77,384.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,876.52 : 124,115.10 = 51,672.68 : x
  2. Step 2: Convert to fraction form
    82,876.52/124,115.10 = 51,672.68/x
  3. Step 3: Cross multiply
    82,876.52x = 124,115.10 × 51,672.68
  4. Step 4: Simplify right side
    82,876.52x = 6,413,359,845.47
  5. Step 5: Solve for x
    x = 6,413,359,845.47/82,876.52
  6. Step 6: Final answer
    x = 77,384.52

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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.