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Finding the Fourth Proportional to 50,297.70, 75,446.54 and 12,857.85

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Solution

The fourth proportional to 50,297.70, 75,446.54 and 12,857.85 is: 19,286.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,297.70 : 75,446.54 = 12,857.85 : x
  2. Step 2: Convert to fraction form
    50,297.70/75,446.54 = 12,857.85/x
  3. Step 3: Cross multiply
    50,297.70x = 75,446.54 × 12,857.85
  4. Step 4: Simplify right side
    50,297.70x = 970,080,230.05
  5. Step 5: Solve for x
    x = 970,080,230.05/50,297.70
  6. Step 6: Final answer
    x = 19,286.77

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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.