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Finding the Fourth Proportional to 71,753.76, 107,653.71 and 21,843.52

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Solution

The fourth proportional to 71,753.76, 107,653.71 and 21,843.52 is: 32,772.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,753.76 : 107,653.71 = 21,843.52 : x
  2. Step 2: Convert to fraction form
    71,753.76/107,653.71 = 21,843.52/x
  3. Step 3: Cross multiply
    71,753.76x = 107,653.71 × 21,843.52
  4. Step 4: Simplify right side
    71,753.76x = 2,351,535,581.67
  5. Step 5: Solve for x
    x = 2,351,535,581.67/71,753.76
  6. Step 6: Final answer
    x = 32,772.30

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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.