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Finding the Fourth Proportional to 199,805.90, 275,732.34 and 109,163.37

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Solution

The fourth proportional to 199,805.90, 275,732.34 and 109,163.37 is: 150,645.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,805.90 : 275,732.34 = 109,163.37 : x
  2. Step 2: Convert to fraction form
    199,805.90/275,732.34 = 109,163.37/x
  3. Step 3: Cross multiply
    199,805.90x = 275,732.34 × 109,163.37
  4. Step 4: Simplify right side
    199,805.90x = 30,099,871,452.39
  5. Step 5: Solve for x
    x = 30,099,871,452.39/199,805.90
  6. Step 6: Final answer
    x = 150,645.56

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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.