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Finding the Fourth Proportional to 133,591.38, 184,357.31 and 91,149

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Solution

The fourth proportional to 133,591.38, 184,357.31 and 91,149 is: 125,786.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,591.38 : 184,357.31 = 91,149 : x
  2. Step 2: Convert to fraction form
    133,591.38/184,357.31 = 91,149/x
  3. Step 3: Cross multiply
    133,591.38x = 184,357.31 × 91,149
  4. Step 4: Simplify right side
    133,591.38x = 16,803,984,449.19
  5. Step 5: Solve for x
    x = 16,803,984,449.19/133,591.38
  6. Step 6: Final answer
    x = 125,786.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.