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Finding the Fourth Proportional to 135,405, 203,107.50 and 36,909

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Solution

The fourth proportional to 135,405, 203,107.50 and 36,909 is: 55,363.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,405 : 203,107.50 = 36,909 : x
  2. Step 2: Convert to fraction form
    135,405/203,107.50 = 36,909/x
  3. Step 3: Cross multiply
    135,405x = 203,107.50 × 36,909
  4. Step 4: Simplify right side
    135,405x = 7,496,494,717.50
  5. Step 5: Solve for x
    x = 7,496,494,717.50/135,405
  6. Step 6: Final answer
    x = 55,363.50

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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.