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Finding the Fourth Proportional to 47,798, 71,697 and 20,096

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Solution

The fourth proportional to 47,798, 71,697 and 20,096 is: 30,144

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,798 : 71,697 = 20,096 : x
  2. Step 2: Convert to fraction form
    47,798/71,697 = 20,096/x
  3. Step 3: Cross multiply
    47,798x = 71,697 × 20,096
  4. Step 4: Simplify right side
    47,798x = 1,440,822,912
  5. Step 5: Solve for x
    x = 1,440,822,912/47,798
  6. Step 6: Final answer
    x = 30,144

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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.