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Finding the Fourth Proportional to 139.24, 208.74 and 116.56

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Solution

The fourth proportional to 139.24, 208.74 and 116.56 is: 174.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.24 : 208.74 = 116.56 : x
  2. Step 2: Convert to fraction form
    139.24/208.74 = 116.56/x
  3. Step 3: Cross multiply
    139.24x = 208.74 × 116.56
  4. Step 4: Simplify right side
    139.24x = 24,330.73
  5. Step 5: Solve for x
    x = 24,330.73/139.24
  6. Step 6: Final answer
    x = 174.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.