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Finding the Fourth Proportional to 215,197, 322,847.34 and 67,453

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Solution

The fourth proportional to 215,197, 322,847.34 and 67,453 is: 101,195.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,197 : 322,847.34 = 67,453 : x
  2. Step 2: Convert to fraction form
    215,197/322,847.34 = 67,453/x
  3. Step 3: Cross multiply
    215,197x = 322,847.34 × 67,453
  4. Step 4: Simplify right side
    215,197x = 21,777,021,625.02
  5. Step 5: Solve for x
    x = 21,777,021,625.02/215,197
  6. Step 6: Final answer
    x = 101,195.75

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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.