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Finding the Fourth Proportional to 84.14, 125.37 and 81.03

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Solution

The fourth proportional to 84.14, 125.37 and 81.03 is: 120.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.14 : 125.37 = 81.03 : x
  2. Step 2: Convert to fraction form
    84.14/125.37 = 81.03/x
  3. Step 3: Cross multiply
    84.14x = 125.37 × 81.03
  4. Step 4: Simplify right side
    84.14x = 10,158.73
  5. Step 5: Solve for x
    x = 10,158.73/84.14
  6. Step 6: Final answer
    x = 120.74

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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.