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Finding the Fourth Proportional to 126.68, 190.78 and 106.52

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Solution

The fourth proportional to 126.68, 190.78 and 106.52 is: 160.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.68 : 190.78 = 106.52 : x
  2. Step 2: Convert to fraction form
    126.68/190.78 = 106.52/x
  3. Step 3: Cross multiply
    126.68x = 190.78 × 106.52
  4. Step 4: Simplify right side
    126.68x = 20,321.89
  5. Step 5: Solve for x
    x = 20,321.89/126.68
  6. Step 6: Final answer
    x = 160.42

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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.