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Finding the Fourth Proportional to 81.56, 112.50 and 61.85

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Solution

The fourth proportional to 81.56, 112.50 and 61.85 is: 85.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.56 : 112.50 = 61.85 : x
  2. Step 2: Convert to fraction form
    81.56/112.50 = 61.85/x
  3. Step 3: Cross multiply
    81.56x = 112.50 × 61.85
  4. Step 4: Simplify right side
    81.56x = 6,958.13
  5. Step 5: Solve for x
    x = 6,958.13/81.56
  6. Step 6: Final answer
    x = 85.31

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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.