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Finding the Fourth Proportional to 281,401.80, 422,124.68 and 81,725.48

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Solution

The fourth proportional to 281,401.80, 422,124.68 and 81,725.48 is: 122,594.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,401.80 : 422,124.68 = 81,725.48 : x
  2. Step 2: Convert to fraction form
    281,401.80/422,124.68 = 81,725.48/x
  3. Step 3: Cross multiply
    281,401.80x = 422,124.68 × 81,725.48
  4. Step 4: Simplify right side
    281,401.80x = 34,498,342,092.85
  5. Step 5: Solve for x
    x = 34,498,342,092.85/281,401.80
  6. Step 6: Final answer
    x = 122,594.60

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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.