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Finding the Fourth Proportional to 133,787, 200,778.24 and 107,805.44

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Solution

The fourth proportional to 133,787, 200,778.24 and 107,805.44 is: 161,786.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,787 : 200,778.24 = 107,805.44 : x
  2. Step 2: Convert to fraction form
    133,787/200,778.24 = 107,805.44/x
  3. Step 3: Cross multiply
    133,787x = 200,778.24 × 107,805.44
  4. Step 4: Simplify right side
    133,787x = 21,644,986,505.63
  5. Step 5: Solve for x
    x = 21,644,986,505.63/133,787
  6. Step 6: Final answer
    x = 161,786.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.