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Finding the Fourth Proportional to 192,709.74, 289,108.44 and 103,961.28

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Solution

The fourth proportional to 192,709.74, 289,108.44 and 103,961.28 is: 155,965.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,709.74 : 289,108.44 = 103,961.28 : x
  2. Step 2: Convert to fraction form
    192,709.74/289,108.44 = 103,961.28/x
  3. Step 3: Cross multiply
    192,709.74x = 289,108.44 × 103,961.28
  4. Step 4: Simplify right side
    192,709.74x = 30,056,083,481.20
  5. Step 5: Solve for x
    x = 30,056,083,481.20/192,709.74
  6. Step 6: Final answer
    x = 155,965.57

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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.