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Finding the Fourth Proportional to 71,845.78, 107,771.64 and 27,475.78

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Solution

The fourth proportional to 71,845.78, 107,771.64 and 27,475.78 is: 41,214.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,845.78 : 107,771.64 = 27,475.78 : x
  2. Step 2: Convert to fraction form
    71,845.78/107,771.64 = 27,475.78/x
  3. Step 3: Cross multiply
    71,845.78x = 107,771.64 × 27,475.78
  4. Step 4: Simplify right side
    71,845.78x = 2,961,109,870.88
  5. Step 5: Solve for x
    x = 2,961,109,870.88/71,845.78
  6. Step 6: Final answer
    x = 41,214.81

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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.