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Finding the Fourth Proportional to 204,414.30, 306,512.10 and 85,951.80

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Solution

The fourth proportional to 204,414.30, 306,512.10 and 85,951.80 is: 128,881.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,414.30 : 306,512.10 = 85,951.80 : x
  2. Step 2: Convert to fraction form
    204,414.30/306,512.10 = 85,951.80/x
  3. Step 3: Cross multiply
    204,414.30x = 306,512.10 × 85,951.80
  4. Step 4: Simplify right side
    204,414.30x = 26,345,266,716.78
  5. Step 5: Solve for x
    x = 26,345,266,716.78/204,414.30
  6. Step 6: Final answer
    x = 128,881.72

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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.