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Finding the Fourth Proportional to 89.50, 122.33 and 85.72

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Solution

The fourth proportional to 89.50, 122.33 and 85.72 is: 117.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.50 : 122.33 = 85.72 : x
  2. Step 2: Convert to fraction form
    89.50/122.33 = 85.72/x
  3. Step 3: Cross multiply
    89.50x = 122.33 × 85.72
  4. Step 4: Simplify right side
    89.50x = 10,486.13
  5. Step 5: Solve for x
    x = 10,486.13/89.50
  6. Step 6: Final answer
    x = 117.16

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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.