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Finding the Fourth Proportional to 161,802, 242,703 and 50,994

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Solution

The fourth proportional to 161,802, 242,703 and 50,994 is: 76,491

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,802 : 242,703 = 50,994 : x
  2. Step 2: Convert to fraction form
    161,802/242,703 = 50,994/x
  3. Step 3: Cross multiply
    161,802x = 242,703 × 50,994
  4. Step 4: Simplify right side
    161,802x = 12,376,396,782
  5. Step 5: Solve for x
    x = 12,376,396,782/161,802
  6. Step 6: Final answer
    x = 76,491

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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.