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Finding the Fourth Proportional to 77,198, 115,797 and 18,830

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Solution

The fourth proportional to 77,198, 115,797 and 18,830 is: 28,245

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,198 : 115,797 = 18,830 : x
  2. Step 2: Convert to fraction form
    77,198/115,797 = 18,830/x
  3. Step 3: Cross multiply
    77,198x = 115,797 × 18,830
  4. Step 4: Simplify right side
    77,198x = 2,180,457,510
  5. Step 5: Solve for x
    x = 2,180,457,510/77,198
  6. Step 6: Final answer
    x = 28,245

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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.