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Finding the Fourth Proportional to 76,814, 115,221 and 18,446

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Solution

The fourth proportional to 76,814, 115,221 and 18,446 is: 27,669

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,814 : 115,221 = 18,446 : x
  2. Step 2: Convert to fraction form
    76,814/115,221 = 18,446/x
  3. Step 3: Cross multiply
    76,814x = 115,221 × 18,446
  4. Step 4: Simplify right side
    76,814x = 2,125,366,566
  5. Step 5: Solve for x
    x = 2,125,366,566/76,814
  6. Step 6: Final answer
    x = 27,669

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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.