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Finding the Fourth Proportional to 89.18, 122.36 and 87.14

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Solution

The fourth proportional to 89.18, 122.36 and 87.14 is: 119.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.18 : 122.36 = 87.14 : x
  2. Step 2: Convert to fraction form
    89.18/122.36 = 87.14/x
  3. Step 3: Cross multiply
    89.18x = 122.36 × 87.14
  4. Step 4: Simplify right side
    89.18x = 10,662.45
  5. Step 5: Solve for x
    x = 10,662.45/89.18
  6. Step 6: Final answer
    x = 119.56

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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.