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Finding the Fourth Proportional to 192,823.39, 289,187.89 and 80,504.54

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Solution

The fourth proportional to 192,823.39, 289,187.89 and 80,504.54 is: 120,737.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,823.39 : 289,187.89 = 80,504.54 : x
  2. Step 2: Convert to fraction form
    192,823.39/289,187.89 = 80,504.54/x
  3. Step 3: Cross multiply
    192,823.39x = 289,187.89 × 80,504.54
  4. Step 4: Simplify right side
    192,823.39x = 23,280,936,410.82
  5. Step 5: Solve for x
    x = 23,280,936,410.82/192,823.39
  6. Step 6: Final answer
    x = 120,737.10

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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.