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Finding the Fourth Proportional to 82.35, 122.54 and 81.54

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Solution

The fourth proportional to 82.35, 122.54 and 81.54 is: 121.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.35 : 122.54 = 81.54 : x
  2. Step 2: Convert to fraction form
    82.35/122.54 = 81.54/x
  3. Step 3: Cross multiply
    82.35x = 122.54 × 81.54
  4. Step 4: Simplify right side
    82.35x = 9,991.50
  5. Step 5: Solve for x
    x = 9,991.50/82.35
  6. Step 6: Final answer
    x = 121.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.