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Finding the Fourth Proportional to 128,344.86, 192,471.21 and 49,419.42

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Solution

The fourth proportional to 128,344.86, 192,471.21 and 49,419.42 is: 74,111.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,344.86 : 192,471.21 = 49,419.42 : x
  2. Step 2: Convert to fraction form
    128,344.86/192,471.21 = 49,419.42/x
  3. Step 3: Cross multiply
    128,344.86x = 192,471.21 × 49,419.42
  4. Step 4: Simplify right side
    128,344.86x = 9,511,815,564.90
  5. Step 5: Solve for x
    x = 9,511,815,564.90/128,344.86
  6. Step 6: Final answer
    x = 74,111.39

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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.