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Finding the Fourth Proportional to 139.51, 209.17 and 116.61

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Solution

The fourth proportional to 139.51, 209.17 and 116.61 is: 174.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.51 : 209.17 = 116.61 : x
  2. Step 2: Convert to fraction form
    139.51/209.17 = 116.61/x
  3. Step 3: Cross multiply
    139.51x = 209.17 × 116.61
  4. Step 4: Simplify right side
    139.51x = 24,391.31
  5. Step 5: Solve for x
    x = 24,391.31/139.51
  6. Step 6: Final answer
    x = 174.84

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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.