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Finding the Fourth Proportional to 203,634.76, 305,453.15 and 83,757.08

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Solution

The fourth proportional to 203,634.76, 305,453.15 and 83,757.08 is: 125,636.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,634.76 : 305,453.15 = 83,757.08 : x
  2. Step 2: Convert to fraction form
    203,634.76/305,453.15 = 83,757.08/x
  3. Step 3: Cross multiply
    203,634.76x = 305,453.15 × 83,757.08
  4. Step 4: Simplify right side
    203,634.76x = 25,583,863,920.80
  5. Step 5: Solve for x
    x = 25,583,863,920.80/203,634.76
  6. Step 6: Final answer
    x = 125,636.04

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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.