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Finding the Fourth Proportional to 204,814.80, 307,416.60 and 126,082.80

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Solution

The fourth proportional to 204,814.80, 307,416.60 and 126,082.80 is: 189,243.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,814.80 : 307,416.60 = 126,082.80 : x
  2. Step 2: Convert to fraction form
    204,814.80/307,416.60 = 126,082.80/x
  3. Step 3: Cross multiply
    204,814.80x = 307,416.60 × 126,082.80
  4. Step 4: Simplify right side
    204,814.80x = 38,759,945,694.48
  5. Step 5: Solve for x
    x = 38,759,945,694.48/204,814.80
  6. Step 6: Final answer
    x = 189,243.87

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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.