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Finding the Fourth Proportional to 172,961.50, 259,450.20 and 53,009.86

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Solution

The fourth proportional to 172,961.50, 259,450.20 and 53,009.86 is: 79,517.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,961.50 : 259,450.20 = 53,009.86 : x
  2. Step 2: Convert to fraction form
    172,961.50/259,450.20 = 53,009.86/x
  3. Step 3: Cross multiply
    172,961.50x = 259,450.20 × 53,009.86
  4. Step 4: Simplify right side
    172,961.50x = 13,753,418,778.97
  5. Step 5: Solve for x
    x = 13,753,418,778.97/172,961.50
  6. Step 6: Final answer
    x = 79,517.23

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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.