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Finding the Fourth Proportional to 126.36, 188.60 and 116.74

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Solution

The fourth proportional to 126.36, 188.60 and 116.74 is: 174.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.36 : 188.60 = 116.74 : x
  2. Step 2: Convert to fraction form
    126.36/188.60 = 116.74/x
  3. Step 3: Cross multiply
    126.36x = 188.60 × 116.74
  4. Step 4: Simplify right side
    126.36x = 22,016.82
  5. Step 5: Solve for x
    x = 22,016.82/126.36
  6. Step 6: Final answer
    x = 174.24

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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.