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Finding the Fourth Proportional to 203,413.43, 305,049.33 and 83,435.82

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Solution

The fourth proportional to 203,413.43, 305,049.33 and 83,435.82 is: 125,124.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,413.43 : 305,049.33 = 83,435.82 : x
  2. Step 2: Convert to fraction form
    203,413.43/305,049.33 = 83,435.82/x
  3. Step 3: Cross multiply
    203,413.43x = 305,049.33 × 83,435.82
  4. Step 4: Simplify right side
    203,413.43x = 25,452,040,989.00
  5. Step 5: Solve for x
    x = 25,452,040,989.00/203,413.43
  6. Step 6: Final answer
    x = 125,124.69

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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.