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Finding the Fourth Proportional to 196,539, 271,224.56 and 107,115

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Solution

The fourth proportional to 196,539, 271,224.56 and 107,115 is: 147,819.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,539 : 271,224.56 = 107,115 : x
  2. Step 2: Convert to fraction form
    196,539/271,224.56 = 107,115/x
  3. Step 3: Cross multiply
    196,539x = 271,224.56 × 107,115
  4. Step 4: Simplify right side
    196,539x = 29,052,218,744.40
  5. Step 5: Solve for x
    x = 29,052,218,744.40/196,539
  6. Step 6: Final answer
    x = 147,819.10

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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.