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Finding the Fourth Proportional to 139,241.20, 192,153.82 and 75,578.98

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Solution

The fourth proportional to 139,241.20, 192,153.82 and 75,578.98 is: 104,299.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,241.20 : 192,153.82 = 75,578.98 : x
  2. Step 2: Convert to fraction form
    139,241.20/192,153.82 = 75,578.98/x
  3. Step 3: Cross multiply
    139,241.20x = 192,153.82 × 75,578.98
  4. Step 4: Simplify right side
    139,241.20x = 14,522,789,718.70
  5. Step 5: Solve for x
    x = 14,522,789,718.70/139,241.20
  6. Step 6: Final answer
    x = 104,299.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.