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Finding the Fourth Proportional to 192,109.62, 288,201.78 and 73,772.28

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Solution

The fourth proportional to 192,109.62, 288,201.78 and 73,772.28 is: 110,672.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,109.62 : 288,201.78 = 73,772.28 : x
  2. Step 2: Convert to fraction form
    192,109.62/288,201.78 = 73,772.28/x
  3. Step 3: Cross multiply
    192,109.62x = 288,201.78 × 73,772.28
  4. Step 4: Simplify right side
    192,109.62x = 21,261,302,410.66
  5. Step 5: Solve for x
    x = 21,261,302,410.66/192,109.62
  6. Step 6: Final answer
    x = 110,672.76

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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.