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Finding the Fourth Proportional to 47,882.90, 71,821.64 and 21,221.21

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Solution

The fourth proportional to 47,882.90, 71,821.64 and 21,221.21 is: 31,830.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,882.90 : 71,821.64 = 21,221.21 : x
  2. Step 2: Convert to fraction form
    47,882.90/71,821.64 = 21,221.21/x
  3. Step 3: Cross multiply
    47,882.90x = 71,821.64 × 21,221.21
  4. Step 4: Simplify right side
    47,882.90x = 1,524,141,639.77
  5. Step 5: Solve for x
    x = 1,524,141,639.77/47,882.90
  6. Step 6: Final answer
    x = 31,830.61

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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.