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Finding the Fourth Proportional to 225,793.85, 311,452.70 and 145,082.61

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Solution

The fourth proportional to 225,793.85, 311,452.70 and 145,082.61 is: 200,122.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,793.85 : 311,452.70 = 145,082.61 : x
  2. Step 2: Convert to fraction form
    225,793.85/311,452.70 = 145,082.61/x
  3. Step 3: Cross multiply
    225,793.85x = 311,452.70 × 145,082.61
  4. Step 4: Simplify right side
    225,793.85x = 45,186,369,882.13
  5. Step 5: Solve for x
    x = 45,186,369,882.13/225,793.85
  6. Step 6: Final answer
    x = 200,122.24

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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.