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Finding the Fourth Proportional to 83.74, 114.89 and 81.46

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Solution

The fourth proportional to 83.74, 114.89 and 81.46 is: 111.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.74 : 114.89 = 81.46 : x
  2. Step 2: Convert to fraction form
    83.74/114.89 = 81.46/x
  3. Step 3: Cross multiply
    83.74x = 114.89 × 81.46
  4. Step 4: Simplify right side
    83.74x = 9,358.94
  5. Step 5: Solve for x
    x = 9,358.94/83.74
  6. Step 6: Final answer
    x = 111.76

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.