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Finding the Fourth Proportional to 200,205.09, 300,098.40 and 66,975.75

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Solution

The fourth proportional to 200,205.09, 300,098.40 and 66,975.75 is: 100,393.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,205.09 : 300,098.40 = 66,975.75 : x
  2. Step 2: Convert to fraction form
    200,205.09/300,098.40 = 66,975.75/x
  3. Step 3: Cross multiply
    200,205.09x = 300,098.40 × 66,975.75
  4. Step 4: Simplify right side
    200,205.09x = 20,099,315,413.80
  5. Step 5: Solve for x
    x = 20,099,315,413.80/200,205.09
  6. Step 6: Final answer
    x = 100,393.63

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1.5x scale

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.