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Finding the Fourth Proportional to 83.71, 116.14 and 80.11

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Solution

The fourth proportional to 83.71, 116.14 and 80.11 is: 111.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.71 : 116.14 = 80.11 : x
  2. Step 2: Convert to fraction form
    83.71/116.14 = 80.11/x
  3. Step 3: Cross multiply
    83.71x = 116.14 × 80.11
  4. Step 4: Simplify right side
    83.71x = 9,303.98
  5. Step 5: Solve for x
    x = 9,303.98/83.71
  6. Step 6: Final answer
    x = 111.15

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.