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Finding the Fourth Proportional to 134.12, 185.06 and 81.66

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Solution

The fourth proportional to 134.12, 185.06 and 81.66 is: 112.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.12 : 185.06 = 81.66 : x
  2. Step 2: Convert to fraction form
    134.12/185.06 = 81.66/x
  3. Step 3: Cross multiply
    134.12x = 185.06 × 81.66
  4. Step 4: Simplify right side
    134.12x = 15,112.20
  5. Step 5: Solve for x
    x = 15,112.20/134.12
  6. Step 6: Final answer
    x = 112.67

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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.