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Finding the Fourth Proportional to 71,578.70, 107,154.20 and 43,413.38

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Solution

The fourth proportional to 71,578.70, 107,154.20 and 43,413.38 is: 64,990.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,578.70 : 107,154.20 = 43,413.38 : x
  2. Step 2: Convert to fraction form
    71,578.70/107,154.20 = 43,413.38/x
  3. Step 3: Cross multiply
    71,578.70x = 107,154.20 × 43,413.38
  4. Step 4: Simplify right side
    71,578.70x = 4,651,925,467.43
  5. Step 5: Solve for x
    x = 4,651,925,467.43/71,578.70
  6. Step 6: Final answer
    x = 64,990.36

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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.