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Finding the Fourth Proportional to 126.50, 188.89 and 116.78

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Solution

The fourth proportional to 126.50, 188.89 and 116.78 is: 174.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.50 : 188.89 = 116.78 : x
  2. Step 2: Convert to fraction form
    126.50/188.89 = 116.78/x
  3. Step 3: Cross multiply
    126.50x = 188.89 × 116.78
  4. Step 4: Simplify right side
    126.50x = 22,058.57
  5. Step 5: Solve for x
    x = 22,058.57/126.50
  6. Step 6: Final answer
    x = 174.38

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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.