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Finding the Fourth Proportional to 99,115.10, 148,672.65 and 82,493.90

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Solution

The fourth proportional to 99,115.10, 148,672.65 and 82,493.90 is: 123,740.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,115.10 : 148,672.65 = 82,493.90 : x
  2. Step 2: Convert to fraction form
    99,115.10/148,672.65 = 82,493.90/x
  3. Step 3: Cross multiply
    99,115.10x = 148,672.65 × 82,493.90
  4. Step 4: Simplify right side
    99,115.10x = 12,264,586,721.84
  5. Step 5: Solve for x
    x = 12,264,586,721.84/99,115.10
  6. Step 6: Final answer
    x = 123,740.85

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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.