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Finding the Fourth Proportional to 71,072.46, 106,608.18 and 28,942.64

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Solution

The fourth proportional to 71,072.46, 106,608.18 and 28,942.64 is: 43,413.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,072.46 : 106,608.18 = 28,942.64 : x
  2. Step 2: Convert to fraction form
    71,072.46/106,608.18 = 28,942.64/x
  3. Step 3: Cross multiply
    71,072.46x = 106,608.18 × 28,942.64
  4. Step 4: Simplify right side
    71,072.46x = 3,085,522,174.80
  5. Step 5: Solve for x
    x = 3,085,522,174.80/71,072.46
  6. Step 6: Final answer
    x = 43,413.75

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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.