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Finding the Fourth Proportional to 49,861.62, 74,770.50 and 18,675

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Solution

The fourth proportional to 49,861.62, 74,770.50 and 18,675 is: 28,004.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,861.62 : 74,770.50 = 18,675 : x
  2. Step 2: Convert to fraction form
    49,861.62/74,770.50 = 18,675/x
  3. Step 3: Cross multiply
    49,861.62x = 74,770.50 × 18,675
  4. Step 4: Simplify right side
    49,861.62x = 1,396,339,087.50
  5. Step 5: Solve for x
    x = 1,396,339,087.50/49,861.62
  6. Step 6: Final answer
    x = 28,004.29

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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.