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Finding the Fourth Proportional to 215,218, 322,878.84 and 67,474

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Solution

The fourth proportional to 215,218, 322,878.84 and 67,474 is: 101,227.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,218 : 322,878.84 = 67,474 : x
  2. Step 2: Convert to fraction form
    215,218/322,878.84 = 67,474/x
  3. Step 3: Cross multiply
    215,218x = 322,878.84 × 67,474
  4. Step 4: Simplify right side
    215,218x = 21,785,926,850.16
  5. Step 5: Solve for x
    x = 21,785,926,850.16/215,218
  6. Step 6: Final answer
    x = 101,227.25

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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.