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Finding the Fourth Proportional to 215,193, 322,841.34 and 67,449

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Solution

The fourth proportional to 215,193, 322,841.34 and 67,449 is: 101,189.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,193 : 322,841.34 = 67,449 : x
  2. Step 2: Convert to fraction form
    215,193/322,841.34 = 67,449/x
  3. Step 3: Cross multiply
    215,193x = 322,841.34 × 67,449
  4. Step 4: Simplify right side
    215,193x = 21,775,325,541.66
  5. Step 5: Solve for x
    x = 21,775,325,541.66/215,193
  6. Step 6: Final answer
    x = 101,189.75

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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.