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Finding the Fourth Proportional to 80,517.82, 120,767.51 and 21,358.11

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Solution

The fourth proportional to 80,517.82, 120,767.51 and 21,358.11 is: 32,034.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,517.82 : 120,767.51 = 21,358.11 : x
  2. Step 2: Convert to fraction form
    80,517.82/120,767.51 = 21,358.11/x
  3. Step 3: Cross multiply
    80,517.82x = 120,767.51 × 21,358.11
  4. Step 4: Simplify right side
    80,517.82x = 2,579,365,130.16
  5. Step 5: Solve for x
    x = 2,579,365,130.16/80,517.82
  6. Step 6: Final answer
    x = 32,034.71

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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.