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Finding the Fourth Proportional to 82,218, 123,327 and 26,814

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Solution

The fourth proportional to 82,218, 123,327 and 26,814 is: 40,221

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,218 : 123,327 = 26,814 : x
  2. Step 2: Convert to fraction form
    82,218/123,327 = 26,814/x
  3. Step 3: Cross multiply
    82,218x = 123,327 × 26,814
  4. Step 4: Simplify right side
    82,218x = 3,306,890,178
  5. Step 5: Solve for x
    x = 3,306,890,178/82,218
  6. Step 6: Final answer
    x = 40,221

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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.