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Finding the Fourth Proportional to 281,645.80, 422,496.30 and 81,968.20

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Solution

The fourth proportional to 281,645.80, 422,496.30 and 81,968.20 is: 122,960.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,645.80 : 422,496.30 = 81,968.20 : x
  2. Step 2: Convert to fraction form
    281,645.80/422,496.30 = 81,968.20/x
  3. Step 3: Cross multiply
    281,645.80x = 422,496.30 × 81,968.20
  4. Step 4: Simplify right side
    281,645.80x = 34,631,261,217.66
  5. Step 5: Solve for x
    x = 34,631,261,217.66/281,645.80
  6. Step 6: Final answer
    x = 122,960.33

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1.5x scale

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.