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Finding the Fourth Proportional to 76,591.64, 114,770.10 and 51,539

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Solution

The fourth proportional to 76,591.64, 114,770.10 and 51,539 is: 77,229.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,591.64 : 114,770.10 = 51,539 : x
  2. Step 2: Convert to fraction form
    76,591.64/114,770.10 = 51,539/x
  3. Step 3: Cross multiply
    76,591.64x = 114,770.10 × 51,539
  4. Step 4: Simplify right side
    76,591.64x = 5,915,136,183.90
  5. Step 5: Solve for x
    x = 5,915,136,183.90/76,591.64
  6. Step 6: Final answer
    x = 77,229.53

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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.