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Finding the Fourth Proportional to 75,900, 113,850 and 20,496

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Solution

The fourth proportional to 75,900, 113,850 and 20,496 is: 30,744

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,900 : 113,850 = 20,496 : x
  2. Step 2: Convert to fraction form
    75,900/113,850 = 20,496/x
  3. Step 3: Cross multiply
    75,900x = 113,850 × 20,496
  4. Step 4: Simplify right side
    75,900x = 2,333,469,600
  5. Step 5: Solve for x
    x = 2,333,469,600/75,900
  6. Step 6: Final answer
    x = 30,744

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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.