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Finding the Fourth Proportional to 137,887.66, 206,819.97 and 54,759.34

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Solution

The fourth proportional to 137,887.66, 206,819.97 and 54,759.34 is: 82,134.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,887.66 : 206,819.97 = 54,759.34 : x
  2. Step 2: Convert to fraction form
    137,887.66/206,819.97 = 54,759.34/x
  3. Step 3: Cross multiply
    137,887.66x = 206,819.97 × 54,759.34
  4. Step 4: Simplify right side
    137,887.66x = 11,325,325,056.02
  5. Step 5: Solve for x
    x = 11,325,325,056.02/137,887.66
  6. Step 6: Final answer
    x = 82,134.44

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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.