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Finding the Fourth Proportional to 80,306.70, 110,781.80 and 54,456.51

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Solution

The fourth proportional to 80,306.70, 110,781.80 and 54,456.51 is: 75,121.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,306.70 : 110,781.80 = 54,456.51 : x
  2. Step 2: Convert to fraction form
    80,306.70/110,781.80 = 54,456.51/x
  3. Step 3: Cross multiply
    80,306.70x = 110,781.80 × 54,456.51
  4. Step 4: Simplify right side
    80,306.70x = 6,032,790,393.72
  5. Step 5: Solve for x
    x = 6,032,790,393.72/80,306.70
  6. Step 6: Final answer
    x = 75,121.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.