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Finding the Fourth Proportional to 137,923.67, 206,910.11 and 53,729.64

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Solution

The fourth proportional to 137,923.67, 206,910.11 and 53,729.64 is: 80,604.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,923.67 : 206,910.11 = 53,729.64 : x
  2. Step 2: Convert to fraction form
    137,923.67/206,910.11 = 53,729.64/x
  3. Step 3: Cross multiply
    137,923.67x = 206,910.11 × 53,729.64
  4. Step 4: Simplify right side
    137,923.67x = 11,117,205,856.98
  5. Step 5: Solve for x
    x = 11,117,205,856.98/137,923.67
  6. Step 6: Final answer
    x = 80,604.04

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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.