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Finding the Fourth Proportional to 76,878, 115,317 and 18,510

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Solution

The fourth proportional to 76,878, 115,317 and 18,510 is: 27,765

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,878 : 115,317 = 18,510 : x
  2. Step 2: Convert to fraction form
    76,878/115,317 = 18,510/x
  3. Step 3: Cross multiply
    76,878x = 115,317 × 18,510
  4. Step 4: Simplify right side
    76,878x = 2,134,517,670
  5. Step 5: Solve for x
    x = 2,134,517,670/76,878
  6. Step 6: Final answer
    x = 27,765

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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.