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Finding the Fourth Proportional to 199,807.82, 275,753.87 and 109,177.57

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Solution

The fourth proportional to 199,807.82, 275,753.87 and 109,177.57 is: 150,675.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,807.82 : 275,753.87 = 109,177.57 : x
  2. Step 2: Convert to fraction form
    199,807.82/275,753.87 = 109,177.57/x
  3. Step 3: Cross multiply
    199,807.82x = 275,753.87 × 109,177.57
  4. Step 4: Simplify right side
    199,807.82x = 30,106,135,520.04
  5. Step 5: Solve for x
    x = 30,106,135,520.04/199,807.82
  6. Step 6: Final answer
    x = 150,675.46

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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.