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Finding the Fourth Proportional to 139.18, 191.87 and 97.61

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Solution

The fourth proportional to 139.18, 191.87 and 97.61 is: 134.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.18 : 191.87 = 97.61 : x
  2. Step 2: Convert to fraction form
    139.18/191.87 = 97.61/x
  3. Step 3: Cross multiply
    139.18x = 191.87 × 97.61
  4. Step 4: Simplify right side
    139.18x = 18,727.46
  5. Step 5: Solve for x
    x = 18,727.46/139.18
  6. Step 6: Final answer
    x = 134.56

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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.