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Finding the Fourth Proportional to 196,962, 271,807.68 and 107,538

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Solution

The fourth proportional to 196,962, 271,807.68 and 107,538 is: 148,402.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,962 : 271,807.68 = 107,538 : x
  2. Step 2: Convert to fraction form
    196,962/271,807.68 = 107,538/x
  3. Step 3: Cross multiply
    196,962x = 271,807.68 × 107,538
  4. Step 4: Simplify right side
    196,962x = 29,229,654,291.84
  5. Step 5: Solve for x
    x = 29,229,654,291.84/196,962
  6. Step 6: Final answer
    x = 148,402.51

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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.