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Finding the Fourth Proportional to 86.52, 118.62 and 85.11

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Solution

The fourth proportional to 86.52, 118.62 and 85.11 is: 116.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.52 : 118.62 = 85.11 : x
  2. Step 2: Convert to fraction form
    86.52/118.62 = 85.11/x
  3. Step 3: Cross multiply
    86.52x = 118.62 × 85.11
  4. Step 4: Simplify right side
    86.52x = 10,095.75
  5. Step 5: Solve for x
    x = 10,095.75/86.52
  6. Step 6: Final answer
    x = 116.69

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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.