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Finding the Fourth Proportional to 91.96, 138.46 and 80.62

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Solution

The fourth proportional to 91.96, 138.46 and 80.62 is: 121.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.96 : 138.46 = 80.62 : x
  2. Step 2: Convert to fraction form
    91.96/138.46 = 80.62/x
  3. Step 3: Cross multiply
    91.96x = 138.46 × 80.62
  4. Step 4: Simplify right side
    91.96x = 11,162.65
  5. Step 5: Solve for x
    x = 11,162.65/91.96
  6. Step 6: Final answer
    x = 121.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.