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Finding the Fourth Proportional to 76,776.82, 115,110.69 and 29,351.95

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Solution

The fourth proportional to 76,776.82, 115,110.69 and 29,351.95 is: 44,007.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,776.82 : 115,110.69 = 29,351.95 : x
  2. Step 2: Convert to fraction form
    76,776.82/115,110.69 = 29,351.95/x
  3. Step 3: Cross multiply
    76,776.82x = 115,110.69 × 29,351.95
  4. Step 4: Simplify right side
    76,776.82x = 3,378,723,217.35
  5. Step 5: Solve for x
    x = 3,378,723,217.35/76,776.82
  6. Step 6: Final answer
    x = 44,007.07

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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.