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Finding the Fourth Proportional to 281,494.96, 422,270.10 and 81,817

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Solution

The fourth proportional to 281,494.96, 422,270.10 and 81,817 is: 122,733.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,494.96 : 422,270.10 = 81,817 : x
  2. Step 2: Convert to fraction form
    281,494.96/422,270.10 = 81,817/x
  3. Step 3: Cross multiply
    281,494.96x = 422,270.10 × 81,817
  4. Step 4: Simplify right side
    281,494.96x = 34,548,872,771.70
  5. Step 5: Solve for x
    x = 34,548,872,771.70/281,494.96
  6. Step 6: Final answer
    x = 122,733.54

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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.