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Finding the Fourth Proportional to 253,163, 379,496.10 and 140,897

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Solution

The fourth proportional to 253,163, 379,496.10 and 140,897 is: 211,207.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,163 : 379,496.10 = 140,897 : x
  2. Step 2: Convert to fraction form
    253,163/379,496.10 = 140,897/x
  3. Step 3: Cross multiply
    253,163x = 379,496.10 × 140,897
  4. Step 4: Simplify right side
    253,163x = 53,469,862,001.70
  5. Step 5: Solve for x
    x = 53,469,862,001.70/253,163
  6. Step 6: Final answer
    x = 211,207.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.