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Finding the Fourth Proportional to 199,853.58, 275,798.66 and 109,209.54

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Solution

The fourth proportional to 199,853.58, 275,798.66 and 109,209.54 is: 150,709.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,853.58 : 275,798.66 = 109,209.54 : x
  2. Step 2: Convert to fraction form
    199,853.58/275,798.66 = 109,209.54/x
  3. Step 3: Cross multiply
    199,853.58x = 275,798.66 × 109,209.54
  4. Step 4: Simplify right side
    199,853.58x = 30,119,844,791.22
  5. Step 5: Solve for x
    x = 30,119,844,791.22/199,853.58
  6. Step 6: Final answer
    x = 150,709.56

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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.