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Finding the Fourth Proportional to 76,250, 114,375 and 20,846

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Solution

The fourth proportional to 76,250, 114,375 and 20,846 is: 31,269

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,250 : 114,375 = 20,846 : x
  2. Step 2: Convert to fraction form
    76,250/114,375 = 20,846/x
  3. Step 3: Cross multiply
    76,250x = 114,375 × 20,846
  4. Step 4: Simplify right side
    76,250x = 2,384,261,250
  5. Step 5: Solve for x
    x = 2,384,261,250/76,250
  6. Step 6: Final answer
    x = 31,269

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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.