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Finding the Fourth Proportional to 139.82, 209.58 and 119.47

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Solution

The fourth proportional to 139.82, 209.58 and 119.47 is: 179.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.82 : 209.58 = 119.47 : x
  2. Step 2: Convert to fraction form
    139.82/209.58 = 119.47/x
  3. Step 3: Cross multiply
    139.82x = 209.58 × 119.47
  4. Step 4: Simplify right side
    139.82x = 25,039.74
  5. Step 5: Solve for x
    x = 25,039.74/139.82
  6. Step 6: Final answer
    x = 179.08

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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.