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Finding the Fourth Proportional to 204,819.80, 307,424.10 and 126,087.80

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Solution

The fourth proportional to 204,819.80, 307,424.10 and 126,087.80 is: 189,251.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,819.80 : 307,424.10 = 126,087.80 : x
  2. Step 2: Convert to fraction form
    204,819.80/307,424.10 = 126,087.80/x
  3. Step 3: Cross multiply
    204,819.80x = 307,424.10 × 126,087.80
  4. Step 4: Simplify right side
    204,819.80x = 38,762,428,435.98
  5. Step 5: Solve for x
    x = 38,762,428,435.98/204,819.80
  6. Step 6: Final answer
    x = 189,251.37

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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.