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Finding the Fourth Proportional to 47,229.60, 70,822.80 and 20,920.80

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Solution

The fourth proportional to 47,229.60, 70,822.80 and 20,920.80 is: 31,371.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,229.60 : 70,822.80 = 20,920.80 : x
  2. Step 2: Convert to fraction form
    47,229.60/70,822.80 = 20,920.80/x
  3. Step 3: Cross multiply
    47,229.60x = 70,822.80 × 20,920.80
  4. Step 4: Simplify right side
    47,229.60x = 1,481,669,634.24
  5. Step 5: Solve for x
    x = 1,481,669,634.24/47,229.60
  6. Step 6: Final answer
    x = 31,371.63

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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.