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Finding the Fourth Proportional to 80.09, 119.39 and 73.61

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Solution

The fourth proportional to 80.09, 119.39 and 73.61 is: 109.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.09 : 119.39 = 73.61 : x
  2. Step 2: Convert to fraction form
    80.09/119.39 = 73.61/x
  3. Step 3: Cross multiply
    80.09x = 119.39 × 73.61
  4. Step 4: Simplify right side
    80.09x = 8,787.33
  5. Step 5: Solve for x
    x = 8,787.33/80.09
  6. Step 6: Final answer
    x = 109.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.