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Finding the Fourth Proportional to 99,915.98, 137,882.44 and 54,593

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Solution

The fourth proportional to 99,915.98, 137,882.44 and 54,593 is: 75,337.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,915.98 : 137,882.44 = 54,593 : x
  2. Step 2: Convert to fraction form
    99,915.98/137,882.44 = 54,593/x
  3. Step 3: Cross multiply
    99,915.98x = 137,882.44 × 54,593
  4. Step 4: Simplify right side
    99,915.98x = 7,527,416,046.92
  5. Step 5: Solve for x
    x = 7,527,416,046.92/99,915.98
  6. Step 6: Final answer
    x = 75,337.46

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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.