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Finding the Fourth Proportional to 82.30, 122.96 and 71.50

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Solution

The fourth proportional to 82.30, 122.96 and 71.50 is: 106.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.30 : 122.96 = 71.50 : x
  2. Step 2: Convert to fraction form
    82.30/122.96 = 71.50/x
  3. Step 3: Cross multiply
    82.30x = 122.96 × 71.50
  4. Step 4: Simplify right side
    82.30x = 8,791.64
  5. Step 5: Solve for x
    x = 8,791.64/82.30
  6. Step 6: Final answer
    x = 106.82

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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.