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Finding the Fourth Proportional to 139.95, 208.85 and 119.70

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Solution

The fourth proportional to 139.95, 208.85 and 119.70 is: 178.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.95 : 208.85 = 119.70 : x
  2. Step 2: Convert to fraction form
    139.95/208.85 = 119.70/x
  3. Step 3: Cross multiply
    139.95x = 208.85 × 119.70
  4. Step 4: Simplify right side
    139.95x = 24,998.75
  5. Step 5: Solve for x
    x = 24,998.75/139.95
  6. Step 6: Final answer
    x = 178.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.