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Finding the Fourth Proportional to 203,734, 305,324.13 and 77,306.26

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Solution

The fourth proportional to 203,734, 305,324.13 and 77,306.26 is: 115,854.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,734 : 305,324.13 = 77,306.26 : x
  2. Step 2: Convert to fraction form
    203,734/305,324.13 = 77,306.26/x
  3. Step 3: Cross multiply
    203,734x = 305,324.13 × 77,306.26
  4. Step 4: Simplify right side
    203,734x = 23,603,466,578.05
  5. Step 5: Solve for x
    x = 23,603,466,578.05/203,734
  6. Step 6: Final answer
    x = 115,854.33

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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.