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Finding the Fourth Proportional to 159,082.90, 219,524.25 and 91,099.78

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Solution

The fourth proportional to 159,082.90, 219,524.25 and 91,099.78 is: 125,711.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,082.90 : 219,524.25 = 91,099.78 : x
  2. Step 2: Convert to fraction form
    159,082.90/219,524.25 = 91,099.78/x
  3. Step 3: Cross multiply
    159,082.90x = 219,524.25 × 91,099.78
  4. Step 4: Simplify right side
    159,082.90x = 19,998,610,879.67
  5. Step 5: Solve for x
    x = 19,998,610,879.67/159,082.90
  6. Step 6: Final answer
    x = 125,711.88

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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.