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Finding the Fourth Proportional to 281,775.88, 422,663.84 and 71,414.92

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Solution

The fourth proportional to 281,775.88, 422,663.84 and 71,414.92 is: 107,122.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,775.88 : 422,663.84 = 71,414.92 : x
  2. Step 2: Convert to fraction form
    281,775.88/422,663.84 = 71,414.92/x
  3. Step 3: Cross multiply
    281,775.88x = 422,663.84 × 71,414.92
  4. Step 4: Simplify right side
    281,775.88x = 30,184,504,320.49
  5. Step 5: Solve for x
    x = 30,184,504,320.49/281,775.88
  6. Step 6: Final answer
    x = 107,122.39

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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.