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Finding the Fourth Proportional to 126.59, 188.98 and 112.92

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Solution

The fourth proportional to 126.59, 188.98 and 112.92 is: 168.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.59 : 188.98 = 112.92 : x
  2. Step 2: Convert to fraction form
    126.59/188.98 = 112.92/x
  3. Step 3: Cross multiply
    126.59x = 188.98 × 112.92
  4. Step 4: Simplify right side
    126.59x = 21,339.62
  5. Step 5: Solve for x
    x = 21,339.62/126.59
  6. Step 6: Final answer
    x = 168.57

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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.