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Finding the Fourth Proportional to 206,819.80, 309,901.65 and 136,617.10

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Solution

The fourth proportional to 206,819.80, 309,901.65 and 136,617.10 is: 204,708.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,819.80 : 309,901.65 = 136,617.10 : x
  2. Step 2: Convert to fraction form
    206,819.80/309,901.65 = 136,617.10/x
  3. Step 3: Cross multiply
    206,819.80x = 309,901.65 × 136,617.10
  4. Step 4: Simplify right side
    206,819.80x = 42,337,864,708.22
  5. Step 5: Solve for x
    x = 42,337,864,708.22/206,819.80
  6. Step 6: Final answer
    x = 204,708.95

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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.