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Finding the Fourth Proportional to 281,683.85, 422,526.49 and 71,321.81

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Solution

The fourth proportional to 281,683.85, 422,526.49 and 71,321.81 is: 106,982.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,683.85 : 422,526.49 = 71,321.81 : x
  2. Step 2: Convert to fraction form
    281,683.85/422,526.49 = 71,321.81/x
  3. Step 3: Cross multiply
    281,683.85x = 422,526.49 × 71,321.81
  4. Step 4: Simplify right side
    281,683.85x = 30,135,351,748.81
  5. Step 5: Solve for x
    x = 30,135,351,748.81/281,683.85
  6. Step 6: Final answer
    x = 106,982.89

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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.