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Finding the Fourth Proportional to 76,634.48, 114,951.77 and 21,230.48

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Solution

The fourth proportional to 76,634.48, 114,951.77 and 21,230.48 is: 31,845.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,634.48 : 114,951.77 = 21,230.48 : x
  2. Step 2: Convert to fraction form
    76,634.48/114,951.77 = 21,230.48/x
  3. Step 3: Cross multiply
    76,634.48x = 114,951.77 × 21,230.48
  4. Step 4: Simplify right side
    76,634.48x = 2,440,481,147.80
  5. Step 5: Solve for x
    x = 2,440,481,147.80/76,634.48
  6. Step 6: Final answer
    x = 31,845.73

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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.