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Finding the Fourth Proportional to 76,812, 115,218 and 18,444

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Solution

The fourth proportional to 76,812, 115,218 and 18,444 is: 27,666

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,812 : 115,218 = 18,444 : x
  2. Step 2: Convert to fraction form
    76,812/115,218 = 18,444/x
  3. Step 3: Cross multiply
    76,812x = 115,218 × 18,444
  4. Step 4: Simplify right side
    76,812x = 2,125,080,792
  5. Step 5: Solve for x
    x = 2,125,080,792/76,812
  6. Step 6: Final answer
    x = 27,666

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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.