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Finding the Fourth Proportional to 67.88, 102.17 and 61.25

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Solution

The fourth proportional to 67.88, 102.17 and 61.25 is: 92.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.88 : 102.17 = 61.25 : x
  2. Step 2: Convert to fraction form
    67.88/102.17 = 61.25/x
  3. Step 3: Cross multiply
    67.88x = 102.17 × 61.25
  4. Step 4: Simplify right side
    67.88x = 6,257.91
  5. Step 5: Solve for x
    x = 6,257.91/67.88
  6. Step 6: Final answer
    x = 92.19

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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.