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Finding the Fourth Proportional to 137,884.16, 206,814.72 and 54,755.84

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Solution

The fourth proportional to 137,884.16, 206,814.72 and 54,755.84 is: 82,129.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,884.16 : 206,814.72 = 54,755.84 : x
  2. Step 2: Convert to fraction form
    137,884.16/206,814.72 = 54,755.84/x
  3. Step 3: Cross multiply
    137,884.16x = 206,814.72 × 54,755.84
  4. Step 4: Simplify right side
    137,884.16x = 11,324,313,717.96
  5. Step 5: Solve for x
    x = 11,324,313,717.96/137,884.16
  6. Step 6: Final answer
    x = 82,129.19

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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.