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Finding the Fourth Proportional to 76,245.82, 114,318.88 and 36,765.61

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Solution

The fourth proportional to 76,245.82, 114,318.88 and 36,765.61 is: 55,124.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,245.82 : 114,318.88 = 36,765.61 : x
  2. Step 2: Convert to fraction form
    76,245.82/114,318.88 = 36,765.61/x
  3. Step 3: Cross multiply
    76,245.82x = 114,318.88 × 36,765.61
  4. Step 4: Simplify right side
    76,245.82x = 4,203,002,980.01
  5. Step 5: Solve for x
    x = 4,203,002,980.01/76,245.82
  6. Step 6: Final answer
    x = 55,124.37

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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.