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Finding the Fourth Proportional to 76,858.78, 115,310.49 and 31,871.88

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Solution

The fourth proportional to 76,858.78, 115,310.49 and 31,871.88 is: 47,817.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,858.78 : 115,310.49 = 31,871.88 : x
  2. Step 2: Convert to fraction form
    76,858.78/115,310.49 = 31,871.88/x
  3. Step 3: Cross multiply
    76,858.78x = 115,310.49 × 31,871.88
  4. Step 4: Simplify right side
    76,858.78x = 3,675,162,651.96
  5. Step 5: Solve for x
    x = 3,675,162,651.96/76,858.78
  6. Step 6: Final answer
    x = 47,817.08

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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.