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Finding the Fourth Proportional to 200,339.87, 276,469.07 and 109,695.87

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Solution

The fourth proportional to 200,339.87, 276,469.07 and 109,695.87 is: 151,380.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,339.87 : 276,469.07 = 109,695.87 : x
  2. Step 2: Convert to fraction form
    200,339.87/276,469.07 = 109,695.87/x
  3. Step 3: Cross multiply
    200,339.87x = 276,469.07 × 109,695.87
  4. Step 4: Simplify right side
    200,339.87x = 30,327,514,613.26
  5. Step 5: Solve for x
    x = 30,327,514,613.26/200,339.87
  6. Step 6: Final answer
    x = 151,380.33

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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.