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Finding the Fourth Proportional to 135,648, 203,472 and 52,542

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Solution

The fourth proportional to 135,648, 203,472 and 52,542 is: 78,813

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,648 : 203,472 = 52,542 : x
  2. Step 2: Convert to fraction form
    135,648/203,472 = 52,542/x
  3. Step 3: Cross multiply
    135,648x = 203,472 × 52,542
  4. Step 4: Simplify right side
    135,648x = 10,690,825,824
  5. Step 5: Solve for x
    x = 10,690,825,824/135,648
  6. Step 6: Final answer
    x = 78,813

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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.