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Finding the Fourth Proportional to 275,015.86, 412,524.15 and 75,338

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Solution

The fourth proportional to 275,015.86, 412,524.15 and 75,338 is: 113,007.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,015.86 : 412,524.15 = 75,338 : x
  2. Step 2: Convert to fraction form
    275,015.86/412,524.15 = 75,338/x
  3. Step 3: Cross multiply
    275,015.86x = 412,524.15 × 75,338
  4. Step 4: Simplify right side
    275,015.86x = 31,078,744,412.70
  5. Step 5: Solve for x
    x = 31,078,744,412.70/275,015.86
  6. Step 6: Final answer
    x = 113,007.10

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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.