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Finding the Fourth Proportional to 83.27, 125.52 and 78.05

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Solution

The fourth proportional to 83.27, 125.52 and 78.05 is: 117.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.27 : 125.52 = 78.05 : x
  2. Step 2: Convert to fraction form
    83.27/125.52 = 78.05/x
  3. Step 3: Cross multiply
    83.27x = 125.52 × 78.05
  4. Step 4: Simplify right side
    83.27x = 9,796.21
  5. Step 5: Solve for x
    x = 9,796.21/83.27
  6. Step 6: Final answer
    x = 117.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.