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Finding the Fourth Proportional to 126.28, 187.96 and 123.45

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Solution

The fourth proportional to 126.28, 187.96 and 123.45 is: 183.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.28 : 187.96 = 123.45 : x
  2. Step 2: Convert to fraction form
    126.28/187.96 = 123.45/x
  3. Step 3: Cross multiply
    126.28x = 187.96 × 123.45
  4. Step 4: Simplify right side
    126.28x = 23,202.65
  5. Step 5: Solve for x
    x = 23,202.65/126.28
  6. Step 6: Final answer
    x = 183.74

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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.