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Finding the Fourth Proportional to 205,517.52, 308,451.24 and 80,946

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Solution

The fourth proportional to 205,517.52, 308,451.24 and 80,946 is: 121,487.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,517.52 : 308,451.24 = 80,946 : x
  2. Step 2: Convert to fraction form
    205,517.52/308,451.24 = 80,946/x
  3. Step 3: Cross multiply
    205,517.52x = 308,451.24 × 80,946
  4. Step 4: Simplify right side
    205,517.52x = 24,967,894,073.04
  5. Step 5: Solve for x
    x = 24,967,894,073.04/205,517.52
  6. Step 6: Final answer
    x = 121,487.91

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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.