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Finding the Fourth Proportional to 196,479.78, 271,142.07 and 107,055.78

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Solution

The fourth proportional to 196,479.78, 271,142.07 and 107,055.78 is: 147,736.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,479.78 : 271,142.07 = 107,055.78 : x
  2. Step 2: Convert to fraction form
    196,479.78/271,142.07 = 107,055.78/x
  3. Step 3: Cross multiply
    196,479.78x = 271,142.07 × 107,055.78
  4. Step 4: Simplify right side
    196,479.78x = 29,027,325,794.66
  5. Step 5: Solve for x
    x = 29,027,325,794.66/196,479.78
  6. Step 6: Final answer
    x = 147,736.96

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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.