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Finding the Fourth Proportional to 128,992.99, 193,414.31 and 50,014.96

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Solution

The fourth proportional to 128,992.99, 193,414.31 and 50,014.96 is: 74,993.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,992.99 : 193,414.31 = 50,014.96 : x
  2. Step 2: Convert to fraction form
    128,992.99/193,414.31 = 50,014.96/x
  3. Step 3: Cross multiply
    128,992.99x = 193,414.31 × 50,014.96
  4. Step 4: Simplify right side
    128,992.99x = 9,673,608,978.08
  5. Step 5: Solve for x
    x = 9,673,608,978.08/128,992.99
  6. Step 6: Final answer
    x = 74,993.29

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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.