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Finding the Fourth Proportional to 76,761.98, 115,158.50 and 32,388.84

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Solution

The fourth proportional to 76,761.98, 115,158.50 and 32,388.84 is: 48,589.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,761.98 : 115,158.50 = 32,388.84 : x
  2. Step 2: Convert to fraction form
    76,761.98/115,158.50 = 32,388.84/x
  3. Step 3: Cross multiply
    76,761.98x = 115,158.50 × 32,388.84
  4. Step 4: Simplify right side
    76,761.98x = 3,729,850,231.14
  5. Step 5: Solve for x
    x = 3,729,850,231.14/76,761.98
  6. Step 6: Final answer
    x = 48,589.81

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1.5x scale

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.