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Finding the Fourth Proportional to 199,792.74, 275,709.51 and 109,149.09

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Solution

The fourth proportional to 199,792.74, 275,709.51 and 109,149.09 is: 150,623.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,792.74 : 275,709.51 = 109,149.09 : x
  2. Step 2: Convert to fraction form
    199,792.74/275,709.51 = 109,149.09/x
  3. Step 3: Cross multiply
    199,792.74x = 275,709.51 × 109,149.09
  4. Step 4: Simplify right side
    199,792.74x = 30,093,442,120.85
  5. Step 5: Solve for x
    x = 30,093,442,120.85/199,792.74
  6. Step 6: Final answer
    x = 150,623.30

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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.