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Finding the Fourth Proportional to 97.97, 147.62 and 81.22

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Solution

The fourth proportional to 97.97, 147.62 and 81.22 is: 122.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.97 : 147.62 = 81.22 : x
  2. Step 2: Convert to fraction form
    97.97/147.62 = 81.22/x
  3. Step 3: Cross multiply
    97.97x = 147.62 × 81.22
  4. Step 4: Simplify right side
    97.97x = 11,989.29
  5. Step 5: Solve for x
    x = 11,989.29/97.97
  6. Step 6: Final answer
    x = 122.38

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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.