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Finding the Fourth Proportional to 67,206, 100,809 and 23,430

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Solution

The fourth proportional to 67,206, 100,809 and 23,430 is: 35,145

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,206 : 100,809 = 23,430 : x
  2. Step 2: Convert to fraction form
    67,206/100,809 = 23,430/x
  3. Step 3: Cross multiply
    67,206x = 100,809 × 23,430
  4. Step 4: Simplify right side
    67,206x = 2,361,954,870
  5. Step 5: Solve for x
    x = 2,361,954,870/67,206
  6. Step 6: Final answer
    x = 35,145

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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.