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Finding the Fourth Proportional to 139,084.14, 208,711.87 and 54,829.97

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Solution

The fourth proportional to 139,084.14, 208,711.87 and 54,829.97 is: 82,278.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,084.14 : 208,711.87 = 54,829.97 : x
  2. Step 2: Convert to fraction form
    139,084.14/208,711.87 = 54,829.97/x
  3. Step 3: Cross multiply
    139,084.14x = 208,711.87 × 54,829.97
  4. Step 4: Simplify right side
    139,084.14x = 11,443,664,253.03
  5. Step 5: Solve for x
    x = 11,443,664,253.03/139,084.14
  6. Step 6: Final answer
    x = 82,278.71

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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.