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Finding the Fourth Proportional to 86.11, 117.66 and 85.62

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Solution

The fourth proportional to 86.11, 117.66 and 85.62 is: 116.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.11 : 117.66 = 85.62 : x
  2. Step 2: Convert to fraction form
    86.11/117.66 = 85.62/x
  3. Step 3: Cross multiply
    86.11x = 117.66 × 85.62
  4. Step 4: Simplify right side
    86.11x = 10,074.05
  5. Step 5: Solve for x
    x = 10,074.05/86.11
  6. Step 6: Final answer
    x = 116.99

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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.