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Finding the Fourth Proportional to 82,113.92, 122,930.97 and 74,234.64

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Solution

The fourth proportional to 82,113.92, 122,930.97 and 74,234.64 is: 111,135.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,113.92 : 122,930.97 = 74,234.64 : x
  2. Step 2: Convert to fraction form
    82,113.92/122,930.97 = 74,234.64/x
  3. Step 3: Cross multiply
    82,113.92x = 122,930.97 × 74,234.64
  4. Step 4: Simplify right side
    82,113.92x = 9,125,736,302.80
  5. Step 5: Solve for x
    x = 9,125,736,302.80/82,113.92
  6. Step 6: Final answer
    x = 111,135.07

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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.