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Finding the Fourth Proportional to 281,385.80, 422,100.56 and 81,709.48

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Solution

The fourth proportional to 281,385.80, 422,100.56 and 81,709.48 is: 122,570.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,385.80 : 422,100.56 = 81,709.48 : x
  2. Step 2: Convert to fraction form
    281,385.80/422,100.56 = 81,709.48/x
  3. Step 3: Cross multiply
    281,385.80x = 422,100.56 × 81,709.48
  4. Step 4: Simplify right side
    281,385.80x = 34,489,617,265.31
  5. Step 5: Solve for x
    x = 34,489,617,265.31/281,385.80
  6. Step 6: Final answer
    x = 122,570.57

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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.