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Finding the Fourth Proportional to 47,589.60, 71,355.60 and 21,289.44

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Solution

The fourth proportional to 47,589.60, 71,355.60 and 21,289.44 is: 31,921.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,589.60 : 71,355.60 = 21,289.44 : x
  2. Step 2: Convert to fraction form
    47,589.60/71,355.60 = 21,289.44/x
  3. Step 3: Cross multiply
    47,589.60x = 71,355.60 × 21,289.44
  4. Step 4: Simplify right side
    47,589.60x = 1,519,120,764.86
  5. Step 5: Solve for x
    x = 1,519,120,764.86/47,589.60
  6. Step 6: Final answer
    x = 31,921.28

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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.