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Finding the Fourth Proportional to 206,098.20, 308,491.20 and 147,049.20

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Solution

The fourth proportional to 206,098.20, 308,491.20 and 147,049.20 is: 220,105.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,098.20 : 308,491.20 = 147,049.20 : x
  2. Step 2: Convert to fraction form
    206,098.20/308,491.20 = 147,049.20/x
  3. Step 3: Cross multiply
    206,098.20x = 308,491.20 × 147,049.20
  4. Step 4: Simplify right side
    206,098.20x = 45,363,384,167.04
  5. Step 5: Solve for x
    x = 45,363,384,167.04/206,098.20
  6. Step 6: Final answer
    x = 220,105.68

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1.5x scale

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.