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Finding the Fourth Proportional to 139.13, 191.98 and 83.85

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Solution

The fourth proportional to 139.13, 191.98 and 83.85 is: 115.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.13 : 191.98 = 83.85 : x
  2. Step 2: Convert to fraction form
    139.13/191.98 = 83.85/x
  3. Step 3: Cross multiply
    139.13x = 191.98 × 83.85
  4. Step 4: Simplify right side
    139.13x = 16,097.52
  5. Step 5: Solve for x
    x = 16,097.52/139.13
  6. Step 6: Final answer
    x = 115.70

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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.