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Finding the Fourth Proportional to 76,179.34, 114,342.72 and 36,764.20

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Solution

The fourth proportional to 76,179.34, 114,342.72 and 36,764.20 is: 55,181.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,179.34 : 114,342.72 = 36,764.20 : x
  2. Step 2: Convert to fraction form
    76,179.34/114,342.72 = 36,764.20/x
  3. Step 3: Cross multiply
    76,179.34x = 114,342.72 × 36,764.20
  4. Step 4: Simplify right side
    76,179.34x = 4,203,718,626.62
  5. Step 5: Solve for x
    x = 4,203,718,626.62/76,179.34
  6. Step 6: Final answer
    x = 55,181.87

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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.