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Finding the Fourth Proportional to 80,172.72, 120,257.82 and 27,582.66

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Solution

The fourth proportional to 80,172.72, 120,257.82 and 27,582.66 is: 41,373.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,172.72 : 120,257.82 = 27,582.66 : x
  2. Step 2: Convert to fraction form
    80,172.72/120,257.82 = 27,582.66/x
  3. Step 3: Cross multiply
    80,172.72x = 120,257.82 × 27,582.66
  4. Step 4: Simplify right side
    80,172.72x = 3,317,030,561.40
  5. Step 5: Solve for x
    x = 3,317,030,561.40/80,172.72
  6. Step 6: Final answer
    x = 41,373.56

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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.