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Finding the Fourth Proportional to 204,800.22, 307,069.11 and 99,561.78

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Solution

The fourth proportional to 204,800.22, 307,069.11 and 99,561.78 is: 149,278.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,800.22 : 307,069.11 = 99,561.78 : x
  2. Step 2: Convert to fraction form
    204,800.22/307,069.11 = 99,561.78/x
  3. Step 3: Cross multiply
    204,800.22x = 307,069.11 × 99,561.78
  4. Step 4: Simplify right side
    204,800.22x = 30,572,347,174.62
  5. Step 5: Solve for x
    x = 30,572,347,174.62/204,800.22
  6. Step 6: Final answer
    x = 149,278.88

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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.