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Finding the Fourth Proportional to 135,387, 203,080.50 and 36,891

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Solution

The fourth proportional to 135,387, 203,080.50 and 36,891 is: 55,336.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,387 : 203,080.50 = 36,891 : x
  2. Step 2: Convert to fraction form
    135,387/203,080.50 = 36,891/x
  3. Step 3: Cross multiply
    135,387x = 203,080.50 × 36,891
  4. Step 4: Simplify right side
    135,387x = 7,491,842,725.50
  5. Step 5: Solve for x
    x = 7,491,842,725.50/135,387
  6. Step 6: Final answer
    x = 55,336.50

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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.