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Finding the Fourth Proportional to 71,963.47, 107,919.28 and 30,413.71

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Solution

The fourth proportional to 71,963.47, 107,919.28 and 30,413.71 is: 45,609.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,963.47 : 107,919.28 = 30,413.71 : x
  2. Step 2: Convert to fraction form
    71,963.47/107,919.28 = 30,413.71/x
  3. Step 3: Cross multiply
    71,963.47x = 107,919.28 × 30,413.71
  4. Step 4: Simplify right side
    71,963.47x = 3,282,225,685.33
  5. Step 5: Solve for x
    x = 3,282,225,685.33/71,963.47
  6. Step 6: Final answer
    x = 45,609.61

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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.