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Finding the Fourth Proportional to 81.96, 122.22 and 80.14

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Solution

The fourth proportional to 81.96, 122.22 and 80.14 is: 119.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.96 : 122.22 = 80.14 : x
  2. Step 2: Convert to fraction form
    81.96/122.22 = 80.14/x
  3. Step 3: Cross multiply
    81.96x = 122.22 × 80.14
  4. Step 4: Simplify right side
    81.96x = 9,794.71
  5. Step 5: Solve for x
    x = 9,794.71/81.96
  6. Step 6: Final answer
    x = 119.51

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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.