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Finding the Fourth Proportional to 34,372, 47,425.68 and 20,225.44

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Solution

The fourth proportional to 34,372, 47,425.68 and 20,225.44 is: 27,906.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,372 : 47,425.68 = 20,225.44 : x
  2. Step 2: Convert to fraction form
    34,372/47,425.68 = 20,225.44/x
  3. Step 3: Cross multiply
    34,372x = 47,425.68 × 20,225.44
  4. Step 4: Simplify right side
    34,372x = 959,205,245.30
  5. Step 5: Solve for x
    x = 959,205,245.30/34,372
  6. Step 6: Final answer
    x = 27,906.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.