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Finding the Fourth Proportional to 199,240, 274,949.42 and 108,595.96

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Solution

The fourth proportional to 199,240, 274,949.42 and 108,595.96 is: 149,861.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,240 : 274,949.42 = 108,595.96 : x
  2. Step 2: Convert to fraction form
    199,240/274,949.42 = 108,595.96/x
  3. Step 3: Cross multiply
    199,240x = 274,949.42 × 108,595.96
  4. Step 4: Simplify right side
    199,240x = 29,858,396,216.34
  5. Step 5: Solve for x
    x = 29,858,396,216.34/199,240
  6. Step 6: Final answer
    x = 149,861.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.