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Finding the Fourth Proportional to 89.50, 134.71 and 81.11

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Solution

The fourth proportional to 89.50, 134.71 and 81.11 is: 122.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.50 : 134.71 = 81.11 : x
  2. Step 2: Convert to fraction form
    89.50/134.71 = 81.11/x
  3. Step 3: Cross multiply
    89.50x = 134.71 × 81.11
  4. Step 4: Simplify right side
    89.50x = 10,926.33
  5. Step 5: Solve for x
    x = 10,926.33/89.50
  6. Step 6: Final answer
    x = 122.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.