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Finding the Fourth Proportional to 196,566, 271,261.20 and 107,142

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Solution

The fourth proportional to 196,566, 271,261.20 and 107,142 is: 147,856.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,566 : 271,261.20 = 107,142 : x
  2. Step 2: Convert to fraction form
    196,566/271,261.20 = 107,142/x
  3. Step 3: Cross multiply
    196,566x = 271,261.20 × 107,142
  4. Step 4: Simplify right side
    196,566x = 29,063,467,490.40
  5. Step 5: Solve for x
    x = 29,063,467,490.40/196,566
  6. Step 6: Final answer
    x = 147,856.03

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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.