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Finding the Fourth Proportional to 137,808.22, 206,631.86 and 53,469.88

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Solution

The fourth proportional to 137,808.22, 206,631.86 and 53,469.88 is: 80,173.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,808.22 : 206,631.86 = 53,469.88 : x
  2. Step 2: Convert to fraction form
    137,808.22/206,631.86 = 53,469.88/x
  3. Step 3: Cross multiply
    137,808.22x = 206,631.86 × 53,469.88
  4. Step 4: Simplify right side
    137,808.22x = 11,048,579,974.45
  5. Step 5: Solve for x
    x = 11,048,579,974.45/137,808.22
  6. Step 6: Final answer
    x = 80,173.59

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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.