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Finding the Fourth Proportional to 272,003.73, 408,074.81 and 159,778.86

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Solution

The fourth proportional to 272,003.73, 408,074.81 and 159,778.86 is: 239,708.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,003.73 : 408,074.81 = 159,778.86 : x
  2. Step 2: Convert to fraction form
    272,003.73/408,074.81 = 159,778.86/x
  3. Step 3: Cross multiply
    272,003.73x = 408,074.81 × 159,778.86
  4. Step 4: Simplify right side
    272,003.73x = 65,201,727,137.62
  5. Step 5: Solve for x
    x = 65,201,727,137.62/272,003.73
  6. Step 6: Final answer
    x = 239,708.94

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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.