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Finding the Fourth Proportional to 54,874.33, 82,311.80 and 15,431.78

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Solution

The fourth proportional to 54,874.33, 82,311.80 and 15,431.78 is: 23,147.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,874.33 : 82,311.80 = 15,431.78 : x
  2. Step 2: Convert to fraction form
    54,874.33/82,311.80 = 15,431.78/x
  3. Step 3: Cross multiply
    54,874.33x = 82,311.80 × 15,431.78
  4. Step 4: Simplify right side
    54,874.33x = 1,270,217,717.62
  5. Step 5: Solve for x
    x = 1,270,217,717.62/54,874.33
  6. Step 6: Final answer
    x = 23,147.76

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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.