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Finding the Fourth Proportional to 47,906.93, 71,857.22 and 19,819.64

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Solution

The fourth proportional to 47,906.93, 71,857.22 and 19,819.64 is: 29,728.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,906.93 : 71,857.22 = 19,819.64 : x
  2. Step 2: Convert to fraction form
    47,906.93/71,857.22 = 19,819.64/x
  3. Step 3: Cross multiply
    47,906.93x = 71,857.22 × 19,819.64
  4. Step 4: Simplify right side
    47,906.93x = 1,424,183,773.42
  5. Step 5: Solve for x
    x = 1,424,183,773.42/47,906.93
  6. Step 6: Final answer
    x = 29,728.14

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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.