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Finding the Fourth Proportional to 137,793.21, 206,609.37 and 53,454.83

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Solution

The fourth proportional to 137,793.21, 206,609.37 and 53,454.83 is: 80,151.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,793.21 : 206,609.37 = 53,454.83 : x
  2. Step 2: Convert to fraction form
    137,793.21/206,609.37 = 53,454.83/x
  3. Step 3: Cross multiply
    137,793.21x = 206,609.37 × 53,454.83
  4. Step 4: Simplify right side
    137,793.21x = 11,044,267,716.71
  5. Step 5: Solve for x
    x = 11,044,267,716.71/137,793.21
  6. Step 6: Final answer
    x = 80,151.03

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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.