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Finding the Fourth Proportional to 52,103.76, 71,903 and 28,230.96

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Solution

The fourth proportional to 52,103.76, 71,903 and 28,230.96 is: 38,958.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,103.76 : 71,903 = 28,230.96 : x
  2. Step 2: Convert to fraction form
    52,103.76/71,903 = 28,230.96/x
  3. Step 3: Cross multiply
    52,103.76x = 71,903 × 28,230.96
  4. Step 4: Simplify right side
    52,103.76x = 2,029,890,716.88
  5. Step 5: Solve for x
    x = 2,029,890,716.88/52,103.76
  6. Step 6: Final answer
    x = 38,958.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.