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Finding the Fourth Proportional to 193,372.29, 289,761.72 and 80,991

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Solution

The fourth proportional to 193,372.29, 289,761.72 and 80,991 is: 121,362.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,372.29 : 289,761.72 = 80,991 : x
  2. Step 2: Convert to fraction form
    193,372.29/289,761.72 = 80,991/x
  3. Step 3: Cross multiply
    193,372.29x = 289,761.72 × 80,991
  4. Step 4: Simplify right side
    193,372.29x = 23,468,091,464.52
  5. Step 5: Solve for x
    x = 23,468,091,464.52/193,372.29
  6. Step 6: Final answer
    x = 121,362.23

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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.