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Finding the Fourth Proportional to 83.60, 126.14 and 80.60

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Solution

The fourth proportional to 83.60, 126.14 and 80.60 is: 121.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.60 : 126.14 = 80.60 : x
  2. Step 2: Convert to fraction form
    83.60/126.14 = 80.60/x
  3. Step 3: Cross multiply
    83.60x = 126.14 × 80.60
  4. Step 4: Simplify right side
    83.60x = 10,166.88
  5. Step 5: Solve for x
    x = 10,166.88/83.60
  6. Step 6: Final answer
    x = 121.61

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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.