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Finding the Fourth Proportional to 196,573, 271,270.86 and 107,149

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Solution

The fourth proportional to 196,573, 271,270.86 and 107,149 is: 147,865.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,573 : 271,270.86 = 107,149 : x
  2. Step 2: Convert to fraction form
    196,573/271,270.86 = 107,149/x
  3. Step 3: Cross multiply
    196,573x = 271,270.86 × 107,149
  4. Step 4: Simplify right side
    196,573x = 29,066,401,378.14
  5. Step 5: Solve for x
    x = 29,066,401,378.14/196,573
  6. Step 6: Final answer
    x = 147,865.69

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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.