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Finding the Fourth Proportional to 73,618, 110,427 and 18,214

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Solution

The fourth proportional to 73,618, 110,427 and 18,214 is: 27,321

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,618 : 110,427 = 18,214 : x
  2. Step 2: Convert to fraction form
    73,618/110,427 = 18,214/x
  3. Step 3: Cross multiply
    73,618x = 110,427 × 18,214
  4. Step 4: Simplify right side
    73,618x = 2,011,317,378
  5. Step 5: Solve for x
    x = 2,011,317,378/73,618
  6. Step 6: Final answer
    x = 27,321

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.