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Finding the Fourth Proportional to 139.82, 209.53 and 67.53

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Solution

The fourth proportional to 139.82, 209.53 and 67.53 is: 101.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.82 : 209.53 = 67.53 : x
  2. Step 2: Convert to fraction form
    139.82/209.53 = 67.53/x
  3. Step 3: Cross multiply
    139.82x = 209.53 × 67.53
  4. Step 4: Simplify right side
    139.82x = 14,149.22
  5. Step 5: Solve for x
    x = 14,149.22/139.82
  6. Step 6: Final answer
    x = 101.20

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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.