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Finding the Fourth Proportional to 126.92, 189.20 and 120.08

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Solution

The fourth proportional to 126.92, 189.20 and 120.08 is: 179.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.92 : 189.20 = 120.08 : x
  2. Step 2: Convert to fraction form
    126.92/189.20 = 120.08/x
  3. Step 3: Cross multiply
    126.92x = 189.20 × 120.08
  4. Step 4: Simplify right side
    126.92x = 22,718.54
  5. Step 5: Solve for x
    x = 22,718.54/126.92
  6. Step 6: Final answer
    x = 179.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.