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Finding the Fourth Proportional to 83.70, 126 and 76.14

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Solution

The fourth proportional to 83.70, 126 and 76.14 is: 114.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.70 : 126 = 76.14 : x
  2. Step 2: Convert to fraction form
    83.70/126 = 76.14/x
  3. Step 3: Cross multiply
    83.70x = 126 × 76.14
  4. Step 4: Simplify right side
    83.70x = 9,593.64
  5. Step 5: Solve for x
    x = 9,593.64/83.70
  6. Step 6: Final answer
    x = 114.62

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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.