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Finding the Fourth Proportional to 85.92, 117.81 and 85.11

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Solution

The fourth proportional to 85.92, 117.81 and 85.11 is: 116.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.92 : 117.81 = 85.11 : x
  2. Step 2: Convert to fraction form
    85.92/117.81 = 85.11/x
  3. Step 3: Cross multiply
    85.92x = 117.81 × 85.11
  4. Step 4: Simplify right side
    85.92x = 10,026.81
  5. Step 5: Solve for x
    x = 10,026.81/85.92
  6. Step 6: Final answer
    x = 116.70

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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.