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Finding the Fourth Proportional to 135,618, 203,427 and 52,512

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Solution

The fourth proportional to 135,618, 203,427 and 52,512 is: 78,768

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,618 : 203,427 = 52,512 : x
  2. Step 2: Convert to fraction form
    135,618/203,427 = 52,512/x
  3. Step 3: Cross multiply
    135,618x = 203,427 × 52,512
  4. Step 4: Simplify right side
    135,618x = 10,682,358,624
  5. Step 5: Solve for x
    x = 10,682,358,624/135,618
  6. Step 6: Final answer
    x = 78,768

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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.