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Finding the Fourth Proportional to 137,794.21, 206,610.87 and 53,455.83

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Solution

The fourth proportional to 137,794.21, 206,610.87 and 53,455.83 is: 80,152.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,794.21 : 206,610.87 = 53,455.83 : x
  2. Step 2: Convert to fraction form
    137,794.21/206,610.87 = 53,455.83/x
  3. Step 3: Cross multiply
    137,794.21x = 206,610.87 × 53,455.83
  4. Step 4: Simplify right side
    137,794.21x = 11,044,555,542.87
  5. Step 5: Solve for x
    x = 11,044,555,542.87/137,794.21
  6. Step 6: Final answer
    x = 80,152.54

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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.