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Finding the Fourth Proportional to 71,911.02, 107,882.10 and 27,537.78

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Solution

The fourth proportional to 71,911.02, 107,882.10 and 27,537.78 is: 41,312.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,911.02 : 107,882.10 = 27,537.78 : x
  2. Step 2: Convert to fraction form
    71,911.02/107,882.10 = 27,537.78/x
  3. Step 3: Cross multiply
    71,911.02x = 107,882.10 × 27,537.78
  4. Step 4: Simplify right side
    71,911.02x = 2,970,833,333.46
  5. Step 5: Solve for x
    x = 2,970,833,333.46/71,911.02
  6. Step 6: Final answer
    x = 41,312.63

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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.