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Finding the Fourth Proportional to 139.25, 207.65 and 120.12

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Solution

The fourth proportional to 139.25, 207.65 and 120.12 is: 179.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.25 : 207.65 = 120.12 : x
  2. Step 2: Convert to fraction form
    139.25/207.65 = 120.12/x
  3. Step 3: Cross multiply
    139.25x = 207.65 × 120.12
  4. Step 4: Simplify right side
    139.25x = 24,942.32
  5. Step 5: Solve for x
    x = 24,942.32/139.25
  6. Step 6: Final answer
    x = 179.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.