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Finding the Fourth Proportional to 126.09, 189 and 91.67

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Solution

The fourth proportional to 126.09, 189 and 91.67 is: 137.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.09 : 189 = 91.67 : x
  2. Step 2: Convert to fraction form
    126.09/189 = 91.67/x
  3. Step 3: Cross multiply
    126.09x = 189 × 91.67
  4. Step 4: Simplify right side
    126.09x = 17,324.69
  5. Step 5: Solve for x
    x = 17,324.69/126.09
  6. Step 6: Final answer
    x = 137.40

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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.