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Finding the Fourth Proportional to 128,992.92, 193,292.10 and 54,072.21

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Solution

The fourth proportional to 128,992.92, 193,292.10 and 54,072.21 is: 81,025.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,992.92 : 193,292.10 = 54,072.21 : x
  2. Step 2: Convert to fraction form
    128,992.92/193,292.10 = 54,072.21/x
  3. Step 3: Cross multiply
    128,992.92x = 193,292.10 × 54,072.21
  4. Step 4: Simplify right side
    128,992.92x = 10,451,731,022.54
  5. Step 5: Solve for x
    x = 10,451,731,022.54/128,992.92
  6. Step 6: Final answer
    x = 81,025.62

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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.