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Finding the Fourth Proportional to 139.24, 191.91 and 97.75

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Solution

The fourth proportional to 139.24, 191.91 and 97.75 is: 134.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.24 : 191.91 = 97.75 : x
  2. Step 2: Convert to fraction form
    139.24/191.91 = 97.75/x
  3. Step 3: Cross multiply
    139.24x = 191.91 × 97.75
  4. Step 4: Simplify right side
    139.24x = 18,759.20
  5. Step 5: Solve for x
    x = 18,759.20/139.24
  6. Step 6: Final answer
    x = 134.73

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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.