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Finding the Fourth Proportional to 192,319.67, 288,491.81 and 73,991.03

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Solution

The fourth proportional to 192,319.67, 288,491.81 and 73,991.03 is: 110,991.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,319.67 : 288,491.81 = 73,991.03 : x
  2. Step 2: Convert to fraction form
    192,319.67/288,491.81 = 73,991.03/x
  3. Step 3: Cross multiply
    192,319.67x = 288,491.81 × 73,991.03
  4. Step 4: Simplify right side
    192,319.67x = 21,345,804,356.05
  5. Step 5: Solve for x
    x = 21,345,804,356.05/192,319.67
  6. Step 6: Final answer
    x = 110,991.27

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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.