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Finding the Fourth Proportional to 54,980.82, 82,414.89 and 21,687.39

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Solution

The fourth proportional to 54,980.82, 82,414.89 and 21,687.39 is: 32,508.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,980.82 : 82,414.89 = 21,687.39 : x
  2. Step 2: Convert to fraction form
    54,980.82/82,414.89 = 21,687.39/x
  3. Step 3: Cross multiply
    54,980.82x = 82,414.89 × 21,687.39
  4. Step 4: Simplify right side
    54,980.82x = 1,787,363,861.24
  5. Step 5: Solve for x
    x = 1,787,363,861.24/54,980.82
  6. Step 6: Final answer
    x = 32,508.86

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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.