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Finding the Fourth Proportional to 76,932, 115,398 and 18,564

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Solution

The fourth proportional to 76,932, 115,398 and 18,564 is: 27,846

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,932 : 115,398 = 18,564 : x
  2. Step 2: Convert to fraction form
    76,932/115,398 = 18,564/x
  3. Step 3: Cross multiply
    76,932x = 115,398 × 18,564
  4. Step 4: Simplify right side
    76,932x = 2,142,248,472
  5. Step 5: Solve for x
    x = 2,142,248,472/76,932
  6. Step 6: Final answer
    x = 27,846

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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.