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Finding the Fourth Proportional to 126.66, 189.51 and 120.06

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Solution

The fourth proportional to 126.66, 189.51 and 120.06 is: 179.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.66 : 189.51 = 120.06 : x
  2. Step 2: Convert to fraction form
    126.66/189.51 = 120.06/x
  3. Step 3: Cross multiply
    126.66x = 189.51 × 120.06
  4. Step 4: Simplify right side
    126.66x = 22,752.57
  5. Step 5: Solve for x
    x = 22,752.57/126.66
  6. Step 6: Final answer
    x = 179.64

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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.