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Finding the Fourth Proportional to 76,883.88, 115,286.94 and 39,435.96

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Solution

The fourth proportional to 76,883.88, 115,286.94 and 39,435.96 is: 59,134.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,883.88 : 115,286.94 = 39,435.96 : x
  2. Step 2: Convert to fraction form
    76,883.88/115,286.94 = 39,435.96/x
  3. Step 3: Cross multiply
    76,883.88x = 115,286.94 × 39,435.96
  4. Step 4: Simplify right side
    76,883.88x = 4,546,451,154.36
  5. Step 5: Solve for x
    x = 4,546,451,154.36/76,883.88
  6. Step 6: Final answer
    x = 59,134.00

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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.