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Finding the Fourth Proportional to 281,506.46, 422,262.42 and 71,144.42

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Solution

The fourth proportional to 281,506.46, 422,262.42 and 71,144.42 is: 106,717.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,506.46 : 422,262.42 = 71,144.42 : x
  2. Step 2: Convert to fraction form
    281,506.46/422,262.42 = 71,144.42/x
  3. Step 3: Cross multiply
    281,506.46x = 422,262.42 × 71,144.42
  4. Step 4: Simplify right side
    281,506.46x = 30,041,614,958.70
  5. Step 5: Solve for x
    x = 30,041,614,958.70/281,506.46
  6. Step 6: Final answer
    x = 106,717.32

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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.