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Finding the Fourth Proportional to 82,122.66, 123,183.90 and 19,793.16

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Solution

The fourth proportional to 82,122.66, 123,183.90 and 19,793.16 is: 29,689.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,122.66 : 123,183.90 = 19,793.16 : x
  2. Step 2: Convert to fraction form
    82,122.66/123,183.90 = 19,793.16/x
  3. Step 3: Cross multiply
    82,122.66x = 123,183.90 × 19,793.16
  4. Step 4: Simplify right side
    82,122.66x = 2,438,198,642.12
  5. Step 5: Solve for x
    x = 2,438,198,642.12/82,122.66
  6. Step 6: Final answer
    x = 29,689.72

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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.