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Finding the Fourth Proportional to 89,472.68, 123,467.54 and 49,178.68

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Solution

The fourth proportional to 89,472.68, 123,467.54 and 49,178.68 is: 67,863.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,472.68 : 123,467.54 = 49,178.68 : x
  2. Step 2: Convert to fraction form
    89,472.68/123,467.54 = 49,178.68/x
  3. Step 3: Cross multiply
    89,472.68x = 123,467.54 × 49,178.68
  4. Step 4: Simplify right side
    89,472.68x = 6,071,970,882.99
  5. Step 5: Solve for x
    x = 6,071,970,882.99/89,472.68
  6. Step 6: Final answer
    x = 67,863.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.