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Finding the Fourth Proportional to 49,478, 74,221.32 and 12,542

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Solution

The fourth proportional to 49,478, 74,221.32 and 12,542 is: 18,814.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,478 : 74,221.32 = 12,542 : x
  2. Step 2: Convert to fraction form
    49,478/74,221.32 = 12,542/x
  3. Step 3: Cross multiply
    49,478x = 74,221.32 × 12,542
  4. Step 4: Simplify right side
    49,478x = 930,883,795.44
  5. Step 5: Solve for x
    x = 930,883,795.44/49,478
  6. Step 6: Final answer
    x = 18,814.10

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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.