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Finding the Fourth Proportional to 91.62, 138.06 and 82.71

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Solution

The fourth proportional to 91.62, 138.06 and 82.71 is: 124.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.62 : 138.06 = 82.71 : x
  2. Step 2: Convert to fraction form
    91.62/138.06 = 82.71/x
  3. Step 3: Cross multiply
    91.62x = 138.06 × 82.71
  4. Step 4: Simplify right side
    91.62x = 11,418.94
  5. Step 5: Solve for x
    x = 11,418.94/91.62
  6. Step 6: Final answer
    x = 124.63

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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.