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Finding the Fourth Proportional to 141,221, 194,902.26 and 81,605

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Solution

The fourth proportional to 141,221, 194,902.26 and 81,605 is: 112,624.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,221 : 194,902.26 = 81,605 : x
  2. Step 2: Convert to fraction form
    141,221/194,902.26 = 81,605/x
  3. Step 3: Cross multiply
    141,221x = 194,902.26 × 81,605
  4. Step 4: Simplify right side
    141,221x = 15,904,998,927.30
  5. Step 5: Solve for x
    x = 15,904,998,927.30/141,221
  6. Step 6: Final answer
    x = 112,624.89

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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.