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Finding the Fourth Proportional to 196,645, 271,370.64 and 107,221

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Solution

The fourth proportional to 196,645, 271,370.64 and 107,221 is: 147,965.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,645 : 271,370.64 = 107,221 : x
  2. Step 2: Convert to fraction form
    196,645/271,370.64 = 107,221/x
  3. Step 3: Cross multiply
    196,645x = 271,370.64 × 107,221
  4. Step 4: Simplify right side
    196,645x = 29,096,631,391.44
  5. Step 5: Solve for x
    x = 29,096,631,391.44/196,645
  6. Step 6: Final answer
    x = 147,965.27

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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.