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Finding the Fourth Proportional to 76,864, 115,296 and 18,496

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Solution

The fourth proportional to 76,864, 115,296 and 18,496 is: 27,744

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,864 : 115,296 = 18,496 : x
  2. Step 2: Convert to fraction form
    76,864/115,296 = 18,496/x
  3. Step 3: Cross multiply
    76,864x = 115,296 × 18,496
  4. Step 4: Simplify right side
    76,864x = 2,132,514,816
  5. Step 5: Solve for x
    x = 2,132,514,816/76,864
  6. Step 6: Final answer
    x = 27,744

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.