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Finding the Fourth Proportional to 85.86, 117.63 and 82.62

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Solution

The fourth proportional to 85.86, 117.63 and 82.62 is: 113.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.86 : 117.63 = 82.62 : x
  2. Step 2: Convert to fraction form
    85.86/117.63 = 82.62/x
  3. Step 3: Cross multiply
    85.86x = 117.63 × 82.62
  4. Step 4: Simplify right side
    85.86x = 9,718.59
  5. Step 5: Solve for x
    x = 9,718.59/85.86
  6. Step 6: Final answer
    x = 113.19

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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.