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Finding the Fourth Proportional to 82.09, 122.91 and 61.66

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Solution

The fourth proportional to 82.09, 122.91 and 61.66 is: 92.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.09 : 122.91 = 61.66 : x
  2. Step 2: Convert to fraction form
    82.09/122.91 = 61.66/x
  3. Step 3: Cross multiply
    82.09x = 122.91 × 61.66
  4. Step 4: Simplify right side
    82.09x = 7,578.63
  5. Step 5: Solve for x
    x = 7,578.63/82.09
  6. Step 6: Final answer
    x = 92.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.