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Finding the Fourth Proportional to 89.33, 122.49 and 85.95

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Solution

The fourth proportional to 89.33, 122.49 and 85.95 is: 117.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.33 : 122.49 = 85.95 : x
  2. Step 2: Convert to fraction form
    89.33/122.49 = 85.95/x
  3. Step 3: Cross multiply
    89.33x = 122.49 × 85.95
  4. Step 4: Simplify right side
    89.33x = 10,528.02
  5. Step 5: Solve for x
    x = 10,528.02/89.33
  6. Step 6: Final answer
    x = 117.86

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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.