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Finding the Fourth Proportional to 126.63, 188.60 and 119.61

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Solution

The fourth proportional to 126.63, 188.60 and 119.61 is: 178.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.63 : 188.60 = 119.61 : x
  2. Step 2: Convert to fraction form
    126.63/188.60 = 119.61/x
  3. Step 3: Cross multiply
    126.63x = 188.60 × 119.61
  4. Step 4: Simplify right side
    126.63x = 22,557.85
  5. Step 5: Solve for x
    x = 22,557.85/126.63
  6. Step 6: Final answer
    x = 178.14

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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.