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Finding the Fourth Proportional to 204,819.80, 307,229.70 and 86,624.60

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Solution

The fourth proportional to 204,819.80, 307,229.70 and 86,624.60 is: 129,936.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,819.80 : 307,229.70 = 86,624.60 : x
  2. Step 2: Convert to fraction form
    204,819.80/307,229.70 = 86,624.60/x
  3. Step 3: Cross multiply
    204,819.80x = 307,229.70 × 86,624.60
  4. Step 4: Simplify right side
    204,819.80x = 26,613,649,870.62
  5. Step 5: Solve for x
    x = 26,613,649,870.62/204,819.80
  6. Step 6: Final answer
    x = 129,936.90

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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.