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Finding the Fourth Proportional to 80,118, 120,151.44 and 27,514.80

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Solution

The fourth proportional to 80,118, 120,151.44 and 27,514.80 is: 41,263.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,118 : 120,151.44 = 27,514.80 : x
  2. Step 2: Convert to fraction form
    80,118/120,151.44 = 27,514.80/x
  3. Step 3: Cross multiply
    80,118x = 120,151.44 × 27,514.80
  4. Step 4: Simplify right side
    80,118x = 3,305,942,841.31
  5. Step 5: Solve for x
    x = 3,305,942,841.31/80,118
  6. Step 6: Final answer
    x = 41,263.42

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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.