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Finding the Fourth Proportional to 71,719.80, 107,635.38 and 49,687.56

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Solution

The fourth proportional to 71,719.80, 107,635.38 and 49,687.56 is: 74,569.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,719.80 : 107,635.38 = 49,687.56 : x
  2. Step 2: Convert to fraction form
    71,719.80/107,635.38 = 49,687.56/x
  3. Step 3: Cross multiply
    71,719.80x = 107,635.38 × 49,687.56
  4. Step 4: Simplify right side
    71,719.80x = 5,348,139,401.87
  5. Step 5: Solve for x
    x = 5,348,139,401.87/71,719.80
  6. Step 6: Final answer
    x = 74,569.92

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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.