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Finding the Fourth Proportional to 54,814, 82,234 and 17,878

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Solution

The fourth proportional to 54,814, 82,234 and 17,878 is: 26,821.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,814 : 82,234 = 17,878 : x
  2. Step 2: Convert to fraction form
    54,814/82,234 = 17,878/x
  3. Step 3: Cross multiply
    54,814x = 82,234 × 17,878
  4. Step 4: Simplify right side
    54,814x = 1,470,179,452
  5. Step 5: Solve for x
    x = 1,470,179,452/54,814
  6. Step 6: Final answer
    x = 26,821.24

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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.