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Finding the Fourth Proportional to 76,856.70, 115,297.20 and 29,469.90

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Solution

The fourth proportional to 76,856.70, 115,297.20 and 29,469.90 is: 44,209.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,856.70 : 115,297.20 = 29,469.90 : x
  2. Step 2: Convert to fraction form
    76,856.70/115,297.20 = 29,469.90/x
  3. Step 3: Cross multiply
    76,856.70x = 115,297.20 × 29,469.90
  4. Step 4: Simplify right side
    76,856.70x = 3,397,796,954.28
  5. Step 5: Solve for x
    x = 3,397,796,954.28/76,856.70
  6. Step 6: Final answer
    x = 44,209.51

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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.