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Finding the Fourth Proportional to 200,413.56, 300,610.98 and 82,055.64

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Solution

The fourth proportional to 200,413.56, 300,610.98 and 82,055.64 is: 123,079.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,413.56 : 300,610.98 = 82,055.64 : x
  2. Step 2: Convert to fraction form
    200,413.56/300,610.98 = 82,055.64/x
  3. Step 3: Cross multiply
    200,413.56x = 300,610.98 × 82,055.64
  4. Step 4: Simplify right side
    200,413.56x = 24,666,826,354.93
  5. Step 5: Solve for x
    x = 24,666,826,354.93/200,413.56
  6. Step 6: Final answer
    x = 123,079.63

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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.