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Finding the Fourth Proportional to 67,164.72, 100,743.44 and 20,413.95

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Solution

The fourth proportional to 67,164.72, 100,743.44 and 20,413.95 is: 30,619.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,164.72 : 100,743.44 = 20,413.95 : x
  2. Step 2: Convert to fraction form
    67,164.72/100,743.44 = 20,413.95/x
  3. Step 3: Cross multiply
    67,164.72x = 100,743.44 × 20,413.95
  4. Step 4: Simplify right side
    67,164.72x = 2,056,571,798.85
  5. Step 5: Solve for x
    x = 2,056,571,798.85/67,164.72
  6. Step 6: Final answer
    x = 30,619.82

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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.