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Finding the Fourth Proportional to 71,963.34, 107,919.10 and 30,413.58

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Solution

The fourth proportional to 71,963.34, 107,919.10 and 30,413.58 is: 45,609.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,963.34 : 107,919.10 = 30,413.58 : x
  2. Step 2: Convert to fraction form
    71,963.34/107,919.10 = 30,413.58/x
  3. Step 3: Cross multiply
    71,963.34x = 107,919.10 × 30,413.58
  4. Step 4: Simplify right side
    71,963.34x = 3,282,206,181.38
  5. Step 5: Solve for x
    x = 3,282,206,181.38/71,963.34
  6. Step 6: Final answer
    x = 45,609.42

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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.