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Finding the Fourth Proportional to 89.63, 122.96 and 87.23

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Solution

The fourth proportional to 89.63, 122.96 and 87.23 is: 119.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.63 : 122.96 = 87.23 : x
  2. Step 2: Convert to fraction form
    89.63/122.96 = 87.23/x
  3. Step 3: Cross multiply
    89.63x = 122.96 × 87.23
  4. Step 4: Simplify right side
    89.63x = 10,725.80
  5. Step 5: Solve for x
    x = 10,725.80/89.63
  6. Step 6: Final answer
    x = 119.67

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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.