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Finding the Fourth Proportional to 80,297.31, 120,454.17 and 27,706.65

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Solution

The fourth proportional to 80,297.31, 120,454.17 and 27,706.65 is: 41,562.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,297.31 : 120,454.17 = 27,706.65 : x
  2. Step 2: Convert to fraction form
    80,297.31/120,454.17 = 27,706.65/x
  3. Step 3: Cross multiply
    80,297.31x = 120,454.17 × 27,706.65
  4. Step 4: Simplify right side
    80,297.31x = 3,337,381,529.23
  5. Step 5: Solve for x
    x = 3,337,381,529.23/80,297.31
  6. Step 6: Final answer
    x = 41,562.81

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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.