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Finding the Fourth Proportional to 133,449.88, 200,167.80 and 33,610

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Solution

The fourth proportional to 133,449.88, 200,167.80 and 33,610 is: 50,413.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,449.88 : 200,167.80 = 33,610 : x
  2. Step 2: Convert to fraction form
    133,449.88/200,167.80 = 33,610/x
  3. Step 3: Cross multiply
    133,449.88x = 200,167.80 × 33,610
  4. Step 4: Simplify right side
    133,449.88x = 6,727,639,758
  5. Step 5: Solve for x
    x = 6,727,639,758/133,449.88
  6. Step 6: Final answer
    x = 50,413.23

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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.