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Finding the Fourth Proportional to 204,618, 306,927 and 56,874

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Solution

The fourth proportional to 204,618, 306,927 and 56,874 is: 85,311

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,618 : 306,927 = 56,874 : x
  2. Step 2: Convert to fraction form
    204,618/306,927 = 56,874/x
  3. Step 3: Cross multiply
    204,618x = 306,927 × 56,874
  4. Step 4: Simplify right side
    204,618x = 17,456,166,198
  5. Step 5: Solve for x
    x = 17,456,166,198/204,618
  6. Step 6: Final answer
    x = 85,311

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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.