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Finding the Fourth Proportional to 196,812, 271,600.56 and 107,388

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Solution

The fourth proportional to 196,812, 271,600.56 and 107,388 is: 148,195.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,812 : 271,600.56 = 107,388 : x
  2. Step 2: Convert to fraction form
    196,812/271,600.56 = 107,388/x
  3. Step 3: Cross multiply
    196,812x = 271,600.56 × 107,388
  4. Step 4: Simplify right side
    196,812x = 29,166,640,937.28
  5. Step 5: Solve for x
    x = 29,166,640,937.28/196,812
  6. Step 6: Final answer
    x = 148,195.44

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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.