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Finding the Fourth Proportional to 126.06, 189 and 95.82

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Solution

The fourth proportional to 126.06, 189 and 95.82 is: 143.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.06 : 189 = 95.82 : x
  2. Step 2: Convert to fraction form
    126.06/189 = 95.82/x
  3. Step 3: Cross multiply
    126.06x = 189 × 95.82
  4. Step 4: Simplify right side
    126.06x = 18,109.98
  5. Step 5: Solve for x
    x = 18,109.98/126.06
  6. Step 6: Final answer
    x = 143.66

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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.