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Finding the Fourth Proportional to 139.68, 209.28 and 110.88

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Solution

The fourth proportional to 139.68, 209.28 and 110.88 is: 166.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.68 : 209.28 = 110.88 : x
  2. Step 2: Convert to fraction form
    139.68/209.28 = 110.88/x
  3. Step 3: Cross multiply
    139.68x = 209.28 × 110.88
  4. Step 4: Simplify right side
    139.68x = 23,204.97
  5. Step 5: Solve for x
    x = 23,204.97/139.68
  6. Step 6: Final answer
    x = 166.13

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