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Finding the Fourth Proportional to 139.80, 209.46 and 78.96

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Solution

The fourth proportional to 139.80, 209.46 and 78.96 is: 118.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.80 : 209.46 = 78.96 : x
  2. Step 2: Convert to fraction form
    139.80/209.46 = 78.96/x
  3. Step 3: Cross multiply
    139.80x = 209.46 × 78.96
  4. Step 4: Simplify right side
    139.80x = 16,538.96
  5. Step 5: Solve for x
    x = 16,538.96/139.80
  6. Step 6: Final answer
    x = 118.30

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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.