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Finding the Fourth Proportional to 81,858.34, 122,834.58 and 34,469.70

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Solution

The fourth proportional to 81,858.34, 122,834.58 and 34,469.70 is: 51,724.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,858.34 : 122,834.58 = 34,469.70 : x
  2. Step 2: Convert to fraction form
    81,858.34/122,834.58 = 34,469.70/x
  3. Step 3: Cross multiply
    81,858.34x = 122,834.58 × 34,469.70
  4. Step 4: Simplify right side
    81,858.34x = 4,234,070,508.05
  5. Step 5: Solve for x
    x = 4,234,070,508.05/81,858.34
  6. Step 6: Final answer
    x = 51,724.36

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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.