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Finding the Fourth Proportional to 126.12, 188.92 and 91.94

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Solution

The fourth proportional to 126.12, 188.92 and 91.94 is: 137.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.12 : 188.92 = 91.94 : x
  2. Step 2: Convert to fraction form
    126.12/188.92 = 91.94/x
  3. Step 3: Cross multiply
    126.12x = 188.92 × 91.94
  4. Step 4: Simplify right side
    126.12x = 17,369.30
  5. Step 5: Solve for x
    x = 17,369.30/126.12
  6. Step 6: Final answer
    x = 137.72

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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.