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Finding the Fourth Proportional to 139,418.16, 209,126.82 and 39,578.44

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Solution

The fourth proportional to 139,418.16, 209,126.82 and 39,578.44 is: 59,367.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,418.16 : 209,126.82 = 39,578.44 : x
  2. Step 2: Convert to fraction form
    139,418.16/209,126.82 = 39,578.44/x
  3. Step 3: Cross multiply
    139,418.16x = 209,126.82 × 39,578.44
  4. Step 4: Simplify right side
    139,418.16x = 8,276,913,297.76
  5. Step 5: Solve for x
    x = 8,276,913,297.76/139,418.16
  6. Step 6: Final answer
    x = 59,367.54

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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.