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Finding the Fourth Proportional to 69,413.80, 104,120.70 and 16,823.28

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Solution

The fourth proportional to 69,413.80, 104,120.70 and 16,823.28 is: 25,234.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,413.80 : 104,120.70 = 16,823.28 : x
  2. Step 2: Convert to fraction form
    69,413.80/104,120.70 = 16,823.28/x
  3. Step 3: Cross multiply
    69,413.80x = 104,120.70 × 16,823.28
  4. Step 4: Simplify right side
    69,413.80x = 1,751,651,691.33
  5. Step 5: Solve for x
    x = 1,751,651,691.33/69,413.80
  6. Step 6: Final answer
    x = 25,234.92

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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.