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Finding the Fourth Proportional to 75,933, 113,899.68 and 20,529

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Solution

The fourth proportional to 75,933, 113,899.68 and 20,529 is: 30,793.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,933 : 113,899.68 = 20,529 : x
  2. Step 2: Convert to fraction form
    75,933/113,899.68 = 20,529/x
  3. Step 3: Cross multiply
    75,933x = 113,899.68 × 20,529
  4. Step 4: Simplify right side
    75,933x = 2,338,246,530.72
  5. Step 5: Solve for x
    x = 2,338,246,530.72/75,933
  6. Step 6: Final answer
    x = 30,793.55

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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.