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Finding the Fourth Proportional to 138,591.84, 207,721.68 and 54,299.40

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Solution

The fourth proportional to 138,591.84, 207,721.68 and 54,299.40 is: 81,384.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,591.84 : 207,721.68 = 54,299.40 : x
  2. Step 2: Convert to fraction form
    138,591.84/207,721.68 = 54,299.40/x
  3. Step 3: Cross multiply
    138,591.84x = 207,721.68 × 54,299.40
  4. Step 4: Simplify right side
    138,591.84x = 11,279,162,590.99
  5. Step 5: Solve for x
    x = 11,279,162,590.99/138,591.84
  6. Step 6: Final answer
    x = 81,384.03

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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.