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Finding the Fourth Proportional to 126.75, 189.93 and 83.38

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Solution

The fourth proportional to 126.75, 189.93 and 83.38 is: 124.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.75 : 189.93 = 83.38 : x
  2. Step 2: Convert to fraction form
    126.75/189.93 = 83.38/x
  3. Step 3: Cross multiply
    126.75x = 189.93 × 83.38
  4. Step 4: Simplify right side
    126.75x = 15,836.36
  5. Step 5: Solve for x
    x = 15,836.36/126.75
  6. Step 6: Final answer
    x = 124.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.