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Finding the Fourth Proportional to 204,491.20, 306,736.80 and 54,754.60

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Solution

The fourth proportional to 204,491.20, 306,736.80 and 54,754.60 is: 82,131.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,491.20 : 306,736.80 = 54,754.60 : x
  2. Step 2: Convert to fraction form
    204,491.20/306,736.80 = 54,754.60/x
  3. Step 3: Cross multiply
    204,491.20x = 306,736.80 × 54,754.60
  4. Step 4: Simplify right side
    204,491.20x = 16,795,250,789.28
  5. Step 5: Solve for x
    x = 16,795,250,789.28/204,491.20
  6. Step 6: Final answer
    x = 82,131.90

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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.