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Finding the Fourth Proportional to 139.19, 191.97 and 97.81

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Solution

The fourth proportional to 139.19, 191.97 and 97.81 is: 134.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.19 : 191.97 = 97.81 : x
  2. Step 2: Convert to fraction form
    139.19/191.97 = 97.81/x
  3. Step 3: Cross multiply
    139.19x = 191.97 × 97.81
  4. Step 4: Simplify right side
    139.19x = 18,776.11
  5. Step 5: Solve for x
    x = 18,776.11/139.19
  6. Step 6: Final answer
    x = 134.90

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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.