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Finding the Fourth Proportional to 71,144.61, 106,716.92 and 18,553.64

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Solution

The fourth proportional to 71,144.61, 106,716.92 and 18,553.64 is: 27,830.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,144.61 : 106,716.92 = 18,553.64 : x
  2. Step 2: Convert to fraction form
    71,144.61/106,716.92 = 18,553.64/x
  3. Step 3: Cross multiply
    71,144.61x = 106,716.92 × 18,553.64
  4. Step 4: Simplify right side
    71,144.61x = 1,979,986,689.24
  5. Step 5: Solve for x
    x = 1,979,986,689.24/71,144.61
  6. Step 6: Final answer
    x = 27,830.45

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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.