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Finding the Fourth Proportional to 84.82, 126.41 and 81.43

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Solution

The fourth proportional to 84.82, 126.41 and 81.43 is: 121.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.82 : 126.41 = 81.43 : x
  2. Step 2: Convert to fraction form
    84.82/126.41 = 81.43/x
  3. Step 3: Cross multiply
    84.82x = 126.41 × 81.43
  4. Step 4: Simplify right side
    84.82x = 10,293.57
  5. Step 5: Solve for x
    x = 10,293.57/84.82
  6. Step 6: Final answer
    x = 121.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.