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Finding the Fourth Proportional to 126.76, 174.81 and 83.02

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Solution

The fourth proportional to 126.76, 174.81 and 83.02 is: 114.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.76 : 174.81 = 83.02 : x
  2. Step 2: Convert to fraction form
    126.76/174.81 = 83.02/x
  3. Step 3: Cross multiply
    126.76x = 174.81 × 83.02
  4. Step 4: Simplify right side
    126.76x = 14,512.73
  5. Step 5: Solve for x
    x = 14,512.73/126.76
  6. Step 6: Final answer
    x = 114.49

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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.