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Finding the Fourth Proportional to 76,951.20, 115,243.20 and 37,381.20

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Solution

The fourth proportional to 76,951.20, 115,243.20 and 37,381.20 is: 55,982.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,951.20 : 115,243.20 = 37,381.20 : x
  2. Step 2: Convert to fraction form
    76,951.20/115,243.20 = 37,381.20/x
  3. Step 3: Cross multiply
    76,951.20x = 115,243.20 × 37,381.20
  4. Step 4: Simplify right side
    76,951.20x = 4,307,929,107.84
  5. Step 5: Solve for x
    x = 4,307,929,107.84/76,951.20
  6. Step 6: Final answer
    x = 55,982.61

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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.