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Finding the Fourth Proportional to 71,676.30, 107,536.32 and 36,640.56

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Solution

The fourth proportional to 71,676.30, 107,536.32 and 36,640.56 is: 54,972.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,676.30 : 107,536.32 = 36,640.56 : x
  2. Step 2: Convert to fraction form
    71,676.30/107,536.32 = 36,640.56/x
  3. Step 3: Cross multiply
    71,676.30x = 107,536.32 × 36,640.56
  4. Step 4: Simplify right side
    71,676.30x = 3,940,190,447.46
  5. Step 5: Solve for x
    x = 3,940,190,447.46/71,676.30
  6. Step 6: Final answer
    x = 54,972.02

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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.