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Finding the Fourth Proportional to 279,097.92, 418,646.84 and 82,105.92

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Solution

The fourth proportional to 279,097.92, 418,646.84 and 82,105.92 is: 123,158.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,097.92 : 418,646.84 = 82,105.92 : x
  2. Step 2: Convert to fraction form
    279,097.92/418,646.84 = 82,105.92/x
  3. Step 3: Cross multiply
    279,097.92x = 418,646.84 × 82,105.92
  4. Step 4: Simplify right side
    279,097.92x = 34,373,383,542.76
  5. Step 5: Solve for x
    x = 34,373,383,542.76/279,097.92
  6. Step 6: Final answer
    x = 123,158.87

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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.