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Finding the Fourth Proportional to 47,490.80, 71,229.92 and 21,189.44

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Solution

The fourth proportional to 47,490.80, 71,229.92 and 21,189.44 is: 31,781.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,490.80 : 71,229.92 = 21,189.44 : x
  2. Step 2: Convert to fraction form
    47,490.80/71,229.92 = 21,189.44/x
  3. Step 3: Cross multiply
    47,490.80x = 71,229.92 × 21,189.44
  4. Step 4: Simplify right side
    47,490.80x = 1,509,322,116.04
  5. Step 5: Solve for x
    x = 1,509,322,116.04/47,490.80
  6. Step 6: Final answer
    x = 31,781.36

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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.