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Finding the Fourth Proportional to 67,163.91, 100,742.21 and 20,413.14

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Solution

The fourth proportional to 67,163.91, 100,742.21 and 20,413.14 is: 30,618.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,163.91 : 100,742.21 = 20,413.14 : x
  2. Step 2: Convert to fraction form
    67,163.91/100,742.21 = 20,413.14/x
  3. Step 3: Cross multiply
    67,163.91x = 100,742.21 × 20,413.14
  4. Step 4: Simplify right side
    67,163.91x = 2,056,464,332.93
  5. Step 5: Solve for x
    x = 2,056,464,332.93/67,163.91
  6. Step 6: Final answer
    x = 30,618.59

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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.