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Finding the Fourth Proportional to 71,691.86, 107,486.58 and 33,719.88

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Solution

The fourth proportional to 71,691.86, 107,486.58 and 33,719.88 is: 50,555.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,691.86 : 107,486.58 = 33,719.88 : x
  2. Step 2: Convert to fraction form
    71,691.86/107,486.58 = 33,719.88/x
  3. Step 3: Cross multiply
    71,691.86x = 107,486.58 × 33,719.88
  4. Step 4: Simplify right side
    71,691.86x = 3,624,434,579.21
  5. Step 5: Solve for x
    x = 3,624,434,579.21/71,691.86
  6. Step 6: Final answer
    x = 50,555.73

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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.