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Finding the Fourth Proportional to 89.45, 122.76 and 87.16

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Solution

The fourth proportional to 89.45, 122.76 and 87.16 is: 119.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.45 : 122.76 = 87.16 : x
  2. Step 2: Convert to fraction form
    89.45/122.76 = 87.16/x
  3. Step 3: Cross multiply
    89.45x = 122.76 × 87.16
  4. Step 4: Simplify right side
    89.45x = 10,699.45
  5. Step 5: Solve for x
    x = 10,699.45/89.45
  6. Step 6: Final answer
    x = 119.61

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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.