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Finding the Fourth Proportional to 89,234.34, 133,863.86 and 30,086.93

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Solution

The fourth proportional to 89,234.34, 133,863.86 and 30,086.93 is: 45,134.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,234.34 : 133,863.86 = 30,086.93 : x
  2. Step 2: Convert to fraction form
    89,234.34/133,863.86 = 30,086.93/x
  3. Step 3: Cross multiply
    89,234.34x = 133,863.86 × 30,086.93
  4. Step 4: Simplify right side
    89,234.34x = 4,027,551,765.60
  5. Step 5: Solve for x
    x = 4,027,551,765.60/89,234.34
  6. Step 6: Final answer
    x = 45,134.55

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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.