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Finding the Fourth Proportional to 200,487.72, 276,668.82 and 109,839.27

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Solution

The fourth proportional to 200,487.72, 276,668.82 and 109,839.27 is: 151,575.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,487.72 : 276,668.82 = 109,839.27 : x
  2. Step 2: Convert to fraction form
    200,487.72/276,668.82 = 109,839.27/x
  3. Step 3: Cross multiply
    200,487.72x = 276,668.82 × 109,839.27
  4. Step 4: Simplify right side
    200,487.72x = 30,389,101,220.56
  5. Step 5: Solve for x
    x = 30,389,101,220.56/200,487.72
  6. Step 6: Final answer
    x = 151,575.87

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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.