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Finding the Fourth Proportional to 50,251.76, 75,378.26 and 12,811.82

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Solution

The fourth proportional to 50,251.76, 75,378.26 and 12,811.82 is: 19,217.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,251.76 : 75,378.26 = 12,811.82 : x
  2. Step 2: Convert to fraction form
    50,251.76/75,378.26 = 12,811.82/x
  3. Step 3: Cross multiply
    50,251.76x = 75,378.26 × 12,811.82
  4. Step 4: Simplify right side
    50,251.76x = 965,732,699.03
  5. Step 5: Solve for x
    x = 965,732,699.03/50,251.76
  6. Step 6: Final answer
    x = 19,217.89

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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.