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Finding the Fourth Proportional to 199,857.55, 275,791.71 and 109,214.22

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Solution

The fourth proportional to 199,857.55, 275,791.71 and 109,214.22 is: 150,709.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,857.55 : 275,791.71 = 109,214.22 : x
  2. Step 2: Convert to fraction form
    199,857.55/275,791.71 = 109,214.22/x
  3. Step 3: Cross multiply
    199,857.55x = 275,791.71 × 109,214.22
  4. Step 4: Simplify right side
    199,857.55x = 30,120,377,626.72
  5. Step 5: Solve for x
    x = 30,120,377,626.72/199,857.55
  6. Step 6: Final answer
    x = 150,709.23

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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.