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Finding the Fourth Proportional to 50,503, 75,770.22 and 20,934.76

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Solution

The fourth proportional to 50,503, 75,770.22 and 20,934.76 is: 31,408.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,503 : 75,770.22 = 20,934.76 : x
  2. Step 2: Convert to fraction form
    50,503/75,770.22 = 20,934.76/x
  3. Step 3: Cross multiply
    50,503x = 75,770.22 × 20,934.76
  4. Step 4: Simplify right side
    50,503x = 1,586,231,370.85
  5. Step 5: Solve for x
    x = 1,586,231,370.85/50,503
  6. Step 6: Final answer
    x = 31,408.66

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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.