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Finding the Fourth Proportional to 126.75, 189.41 and 99.42

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Solution

The fourth proportional to 126.75, 189.41 and 99.42 is: 148.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.75 : 189.41 = 99.42 : x
  2. Step 2: Convert to fraction form
    126.75/189.41 = 99.42/x
  3. Step 3: Cross multiply
    126.75x = 189.41 × 99.42
  4. Step 4: Simplify right side
    126.75x = 18,831.14
  5. Step 5: Solve for x
    x = 18,831.14/126.75
  6. Step 6: Final answer
    x = 148.57

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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.