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Finding the Fourth Proportional to 281,761.52, 422,707.80 and 82,103.12

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Solution

The fourth proportional to 281,761.52, 422,707.80 and 82,103.12 is: 123,173.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,761.52 : 422,707.80 = 82,103.12 : x
  2. Step 2: Convert to fraction form
    281,761.52/422,707.80 = 82,103.12/x
  3. Step 3: Cross multiply
    281,761.52x = 422,707.80 × 82,103.12
  4. Step 4: Simplify right side
    281,761.52x = 34,705,629,228.34
  5. Step 5: Solve for x
    x = 34,705,629,228.34/281,761.52
  6. Step 6: Final answer
    x = 123,173.77

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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.