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Finding the Fourth Proportional to 281,786.81, 422,704.82 and 71,424.75

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Solution

The fourth proportional to 281,786.81, 422,704.82 and 71,424.75 is: 107,143.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,786.81 : 422,704.82 = 71,424.75 : x
  2. Step 2: Convert to fraction form
    281,786.81/422,704.82 = 71,424.75/x
  3. Step 3: Cross multiply
    281,786.81x = 422,704.82 × 71,424.75
  4. Step 4: Simplify right side
    281,786.81x = 30,191,586,270.86
  5. Step 5: Solve for x
    x = 30,191,586,270.86/281,786.81
  6. Step 6: Final answer
    x = 107,143.36

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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.