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Finding the Fourth Proportional to 126.25, 188.47 and 106.86

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Solution

The fourth proportional to 126.25, 188.47 and 106.86 is: 159.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.25 : 188.47 = 106.86 : x
  2. Step 2: Convert to fraction form
    126.25/188.47 = 106.86/x
  3. Step 3: Cross multiply
    126.25x = 188.47 × 106.86
  4. Step 4: Simplify right side
    126.25x = 20,140.17
  5. Step 5: Solve for x
    x = 20,140.17/126.25
  6. Step 6: Final answer
    x = 159.53

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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.