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Finding the Fourth Proportional to 75,828, 113,742 and 20,424

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Solution

The fourth proportional to 75,828, 113,742 and 20,424 is: 30,636

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,828 : 113,742 = 20,424 : x
  2. Step 2: Convert to fraction form
    75,828/113,742 = 20,424/x
  3. Step 3: Cross multiply
    75,828x = 113,742 × 20,424
  4. Step 4: Simplify right side
    75,828x = 2,323,066,608
  5. Step 5: Solve for x
    x = 2,323,066,608/75,828
  6. Step 6: Final answer
    x = 30,636

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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.