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Finding the Fourth Proportional to 196,876.31, 271,594.76 and 128,863.31

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Solution

The fourth proportional to 196,876.31, 271,594.76 and 128,863.31 is: 177,769.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,876.31 : 271,594.76 = 128,863.31 : x
  2. Step 2: Convert to fraction form
    196,876.31/271,594.76 = 128,863.31/x
  3. Step 3: Cross multiply
    196,876.31x = 271,594.76 × 128,863.31
  4. Step 4: Simplify right side
    196,876.31x = 34,998,597,749.97
  5. Step 5: Solve for x
    x = 34,998,597,749.97/196,876.31
  6. Step 6: Final answer
    x = 177,769.48

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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.