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Finding the Fourth Proportional to 196,396, 271,026.48 and 106,972

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Solution

The fourth proportional to 196,396, 271,026.48 and 106,972 is: 147,621.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,396 : 271,026.48 = 106,972 : x
  2. Step 2: Convert to fraction form
    196,396/271,026.48 = 106,972/x
  3. Step 3: Cross multiply
    196,396x = 271,026.48 × 106,972
  4. Step 4: Simplify right side
    196,396x = 28,992,244,618.56
  5. Step 5: Solve for x
    x = 28,992,244,618.56/196,396
  6. Step 6: Final answer
    x = 147,621.36

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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.