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Finding the Fourth Proportional to 81.88, 112.87 and 61.16

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Solution

The fourth proportional to 81.88, 112.87 and 61.16 is: 84.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.88 : 112.87 = 61.16 : x
  2. Step 2: Convert to fraction form
    81.88/112.87 = 61.16/x
  3. Step 3: Cross multiply
    81.88x = 112.87 × 61.16
  4. Step 4: Simplify right side
    81.88x = 6,902.69
  5. Step 5: Solve for x
    x = 6,902.69/81.88
  6. Step 6: Final answer
    x = 84.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.