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Finding the Fourth Proportional to 172,620.92, 258,945.42 and 47,961.92

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Solution

The fourth proportional to 172,620.92, 258,945.42 and 47,961.92 is: 71,946.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,620.92 : 258,945.42 = 47,961.92 : x
  2. Step 2: Convert to fraction form
    172,620.92/258,945.42 = 47,961.92/x
  3. Step 3: Cross multiply
    172,620.92x = 258,945.42 × 47,961.92
  4. Step 4: Simplify right side
    172,620.92x = 12,419,519,518.41
  5. Step 5: Solve for x
    x = 12,419,519,518.41/172,620.92
  6. Step 6: Final answer
    x = 71,946.78

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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.