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Finding the Fourth Proportional to 126.24, 187.76 and 125.80

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Solution

The fourth proportional to 126.24, 187.76 and 125.80 is: 187.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.24 : 187.76 = 125.80 : x
  2. Step 2: Convert to fraction form
    126.24/187.76 = 125.80/x
  3. Step 3: Cross multiply
    126.24x = 187.76 × 125.80
  4. Step 4: Simplify right side
    126.24x = 23,620.21
  5. Step 5: Solve for x
    x = 23,620.21/126.24
  6. Step 6: Final answer
    x = 187.11

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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.