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Finding the Fourth Proportional to 126.55, 174.38 and 112.71

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Solution

The fourth proportional to 126.55, 174.38 and 112.71 is: 155.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.55 : 174.38 = 112.71 : x
  2. Step 2: Convert to fraction form
    126.55/174.38 = 112.71/x
  3. Step 3: Cross multiply
    126.55x = 174.38 × 112.71
  4. Step 4: Simplify right side
    126.55x = 19,653.81
  5. Step 5: Solve for x
    x = 19,653.81/126.55
  6. Step 6: Final answer
    x = 155.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.