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Finding the Fourth Proportional to 88.61, 122.42 and 82.54

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Solution

The fourth proportional to 88.61, 122.42 and 82.54 is: 114.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.61 : 122.42 = 82.54 : x
  2. Step 2: Convert to fraction form
    88.61/122.42 = 82.54/x
  3. Step 3: Cross multiply
    88.61x = 122.42 × 82.54
  4. Step 4: Simplify right side
    88.61x = 10,104.55
  5. Step 5: Solve for x
    x = 10,104.55/88.61
  6. Step 6: Final answer
    x = 114.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.