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Finding the Fourth Proportional to 139,578.78, 209,369.43 and 39,738.90

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Solution

The fourth proportional to 139,578.78, 209,369.43 and 39,738.90 is: 59,608.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,578.78 : 209,369.43 = 39,738.90 : x
  2. Step 2: Convert to fraction form
    139,578.78/209,369.43 = 39,738.90/x
  3. Step 3: Cross multiply
    139,578.78x = 209,369.43 × 39,738.90
  4. Step 4: Simplify right side
    139,578.78x = 8,320,110,841.83
  5. Step 5: Solve for x
    x = 8,320,110,841.83/139,578.78
  6. Step 6: Final answer
    x = 59,608.71

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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.