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Finding the Fourth Proportional to 126.78, 188.70 and 123.95

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Solution

The fourth proportional to 126.78, 188.70 and 123.95 is: 184.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.78 : 188.70 = 123.95 : x
  2. Step 2: Convert to fraction form
    126.78/188.70 = 123.95/x
  3. Step 3: Cross multiply
    126.78x = 188.70 × 123.95
  4. Step 4: Simplify right side
    126.78x = 23,388.42
  5. Step 5: Solve for x
    x = 23,388.42/126.78
  6. Step 6: Final answer
    x = 184.48

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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.