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Finding the Fourth Proportional to 126.28, 174.23 and 79.70

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Solution

The fourth proportional to 126.28, 174.23 and 79.70 is: 109.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.28 : 174.23 = 79.70 : x
  2. Step 2: Convert to fraction form
    126.28/174.23 = 79.70/x
  3. Step 3: Cross multiply
    126.28x = 174.23 × 79.70
  4. Step 4: Simplify right side
    126.28x = 13,886.13
  5. Step 5: Solve for x
    x = 13,886.13/126.28
  6. Step 6: Final answer
    x = 109.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.