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Finding the Fourth Proportional to 83,082.66, 124,624.26 and 20,753.16

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Solution

The fourth proportional to 83,082.66, 124,624.26 and 20,753.16 is: 31,129.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,082.66 : 124,624.26 = 20,753.16 : x
  2. Step 2: Convert to fraction form
    83,082.66/124,624.26 = 20,753.16/x
  3. Step 3: Cross multiply
    83,082.66x = 124,624.26 × 20,753.16
  4. Step 4: Simplify right side
    83,082.66x = 2,586,347,207.66
  5. Step 5: Solve for x
    x = 2,586,347,207.66/83,082.66
  6. Step 6: Final answer
    x = 31,129.81

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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.