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Finding the Fourth Proportional to 281,517.60, 422,277.84 and 71,155.74

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Solution

The fourth proportional to 281,517.60, 422,277.84 and 71,155.74 is: 106,733.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,517.60 : 422,277.84 = 71,155.74 : x
  2. Step 2: Convert to fraction form
    281,517.60/422,277.84 = 71,155.74/x
  3. Step 3: Cross multiply
    281,517.60x = 422,277.84 × 71,155.74
  4. Step 4: Simplify right side
    281,517.60x = 30,047,492,190.80
  5. Step 5: Solve for x
    x = 30,047,492,190.80/281,517.60
  6. Step 6: Final answer
    x = 106,733.97

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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.