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Finding the Fourth Proportional to 80,192.52, 120,209.40 and 37,998

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Solution

The fourth proportional to 80,192.52, 120,209.40 and 37,998 is: 56,959.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,192.52 : 120,209.40 = 37,998 : x
  2. Step 2: Convert to fraction form
    80,192.52/120,209.40 = 37,998/x
  3. Step 3: Cross multiply
    80,192.52x = 120,209.40 × 37,998
  4. Step 4: Simplify right side
    80,192.52x = 4,567,716,781.20
  5. Step 5: Solve for x
    x = 4,567,716,781.20/80,192.52
  6. Step 6: Final answer
    x = 56,959.39

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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.