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Finding the Fourth Proportional to 139.13, 209.16 and 108.75

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Solution

The fourth proportional to 139.13, 209.16 and 108.75 is: 163.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.13 : 209.16 = 108.75 : x
  2. Step 2: Convert to fraction form
    139.13/209.16 = 108.75/x
  3. Step 3: Cross multiply
    139.13x = 209.16 × 108.75
  4. Step 4: Simplify right side
    139.13x = 22,746.15
  5. Step 5: Solve for x
    x = 22,746.15/139.13
  6. Step 6: Final answer
    x = 163.49

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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.