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Finding the Fourth Proportional to 76,818, 115,227 and 18,450

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Solution

The fourth proportional to 76,818, 115,227 and 18,450 is: 27,675

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,818 : 115,227 = 18,450 : x
  2. Step 2: Convert to fraction form
    76,818/115,227 = 18,450/x
  3. Step 3: Cross multiply
    76,818x = 115,227 × 18,450
  4. Step 4: Simplify right side
    76,818x = 2,125,938,150
  5. Step 5: Solve for x
    x = 2,125,938,150/76,818
  6. Step 6: Final answer
    x = 27,675

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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.