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Finding the Fourth Proportional to 126.17, 174 and 96.67

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Solution

The fourth proportional to 126.17, 174 and 96.67 is: 133.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.17 : 174 = 96.67 : x
  2. Step 2: Convert to fraction form
    126.17/174 = 96.67/x
  3. Step 3: Cross multiply
    126.17x = 174 × 96.67
  4. Step 4: Simplify right side
    126.17x = 16,819.71
  5. Step 5: Solve for x
    x = 16,819.71/126.17
  6. Step 6: Final answer
    x = 133.31

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1.5x scale

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.