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Finding the Fourth Proportional to 82, 113.78 and 81.37

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Solution

The fourth proportional to 82, 113.78 and 81.37 is: 112.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    82 : 113.78 = 81.37 : x
  2. Step 2: Convert to fraction form
    82/113.78 = 81.37/x
  3. Step 3: Cross multiply
    82x = 113.78 × 81.37
  4. Step 4: Simplify right side
    82x = 9,258.28
  5. Step 5: Solve for x
    x = 9,258.28/82
  6. Step 6: Final answer
    x = 112.91

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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.