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Finding the Fourth Proportional to 203,257.26, 305,073.27 and 103,489.38

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Solution

The fourth proportional to 203,257.26, 305,073.27 and 103,489.38 is: 155,329.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,257.26 : 305,073.27 = 103,489.38 : x
  2. Step 2: Convert to fraction form
    203,257.26/305,073.27 = 103,489.38/x
  3. Step 3: Cross multiply
    203,257.26x = 305,073.27 × 103,489.38
  4. Step 4: Simplify right side
    203,257.26x = 31,571,843,566.87
  5. Step 5: Solve for x
    x = 31,571,843,566.87/203,257.26
  6. Step 6: Final answer
    x = 155,329.48

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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.