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Finding the Fourth Proportional to 126.12, 190.26 and 112.76

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Solution

The fourth proportional to 126.12, 190.26 and 112.76 is: 170.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.12 : 190.26 = 112.76 : x
  2. Step 2: Convert to fraction form
    126.12/190.26 = 112.76/x
  3. Step 3: Cross multiply
    126.12x = 190.26 × 112.76
  4. Step 4: Simplify right side
    126.12x = 21,453.15
  5. Step 5: Solve for x
    x = 21,453.15/126.12
  6. Step 6: Final answer
    x = 170.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.