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Finding the Fourth Proportional to 83.75, 115.56 and 61.63

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Solution

The fourth proportional to 83.75, 115.56 and 61.63 is: 85.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.75 : 115.56 = 61.63 : x
  2. Step 2: Convert to fraction form
    83.75/115.56 = 61.63/x
  3. Step 3: Cross multiply
    83.75x = 115.56 × 61.63
  4. Step 4: Simplify right side
    83.75x = 7,121.67
  5. Step 5: Solve for x
    x = 7,121.67/83.75
  6. Step 6: Final answer
    x = 85.04

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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.