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Finding the Fourth Proportional to 139.99, 209.82 and 71.55

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Solution

The fourth proportional to 139.99, 209.82 and 71.55 is: 107.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.99 : 209.82 = 71.55 : x
  2. Step 2: Convert to fraction form
    139.99/209.82 = 71.55/x
  3. Step 3: Cross multiply
    139.99x = 209.82 × 71.55
  4. Step 4: Simplify right side
    139.99x = 15,012.62
  5. Step 5: Solve for x
    x = 15,012.62/139.99
  6. Step 6: Final answer
    x = 107.24

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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.