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Finding the Fourth Proportional to 76,860.82, 115,286.54 and 28,819.94

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Solution

The fourth proportional to 76,860.82, 115,286.54 and 28,819.94 is: 43,228.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,860.82 : 115,286.54 = 28,819.94 : x
  2. Step 2: Convert to fraction form
    76,860.82/115,286.54 = 28,819.94/x
  3. Step 3: Cross multiply
    76,860.82x = 115,286.54 × 28,819.94
  4. Step 4: Simplify right side
    76,860.82x = 3,322,551,165.61
  5. Step 5: Solve for x
    x = 3,322,551,165.61/76,860.82
  6. Step 6: Final answer
    x = 43,228.15

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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.