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Finding the Fourth Proportional to 203,433.96, 305,171.19 and 75,384.57

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Solution

The fourth proportional to 203,433.96, 305,171.19 and 75,384.57 is: 113,084.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,433.96 : 305,171.19 = 75,384.57 : x
  2. Step 2: Convert to fraction form
    203,433.96/305,171.19 = 75,384.57/x
  3. Step 3: Cross multiply
    203,433.96x = 305,171.19 × 75,384.57
  4. Step 4: Simplify right side
    203,433.96x = 23,005,198,934.54
  5. Step 5: Solve for x
    x = 23,005,198,934.54/203,433.96
  6. Step 6: Final answer
    x = 113,084.36

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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.