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Finding the Fourth Proportional to 71,168.43, 106,771.17 and 21,248.55

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Solution

The fourth proportional to 71,168.43, 106,771.17 and 21,248.55 is: 31,878.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,168.43 : 106,771.17 = 21,248.55 : x
  2. Step 2: Convert to fraction form
    71,168.43/106,771.17 = 21,248.55/x
  3. Step 3: Cross multiply
    71,168.43x = 106,771.17 × 21,248.55
  4. Step 4: Simplify right side
    71,168.43x = 2,268,732,544.30
  5. Step 5: Solve for x
    x = 2,268,732,544.30/71,168.43
  6. Step 6: Final answer
    x = 31,878.36

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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.