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Finding the Fourth Proportional to 215,182, 322,824.84 and 67,438

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Solution

The fourth proportional to 215,182, 322,824.84 and 67,438 is: 101,173.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,182 : 322,824.84 = 67,438 : x
  2. Step 2: Convert to fraction form
    215,182/322,824.84 = 67,438/x
  3. Step 3: Cross multiply
    215,182x = 322,824.84 × 67,438
  4. Step 4: Simplify right side
    215,182x = 21,770,661,559.92
  5. Step 5: Solve for x
    x = 21,770,661,559.92/215,182
  6. Step 6: Final answer
    x = 101,173.25

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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.