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Finding the Fourth Proportional to 85.72, 117.34 and 83.26

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Solution

The fourth proportional to 85.72, 117.34 and 83.26 is: 113.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.72 : 117.34 = 83.26 : x
  2. Step 2: Convert to fraction form
    85.72/117.34 = 83.26/x
  3. Step 3: Cross multiply
    85.72x = 117.34 × 83.26
  4. Step 4: Simplify right side
    85.72x = 9,769.73
  5. Step 5: Solve for x
    x = 9,769.73/85.72
  6. Step 6: Final answer
    x = 113.97

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.