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Finding the Fourth Proportional to 97.72, 147.24 and 80.97

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Solution

The fourth proportional to 97.72, 147.24 and 80.97 is: 122.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.72 : 147.24 = 80.97 : x
  2. Step 2: Convert to fraction form
    97.72/147.24 = 80.97/x
  3. Step 3: Cross multiply
    97.72x = 147.24 × 80.97
  4. Step 4: Simplify right side
    97.72x = 11,922.02
  5. Step 5: Solve for x
    x = 11,922.02/97.72
  6. Step 6: Final answer
    x = 122.01

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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.