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Finding the Fourth Proportional to 133,409.34, 200,140.78 and 49,169.92

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Solution

The fourth proportional to 133,409.34, 200,140.78 and 49,169.92 is: 73,764.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,409.34 : 200,140.78 = 49,169.92 : x
  2. Step 2: Convert to fraction form
    133,409.34/200,140.78 = 49,169.92/x
  3. Step 3: Cross multiply
    133,409.34x = 200,140.78 × 49,169.92
  4. Step 4: Simplify right side
    133,409.34x = 9,840,906,141.34
  5. Step 5: Solve for x
    x = 9,840,906,141.34/133,409.34
  6. Step 6: Final answer
    x = 73,764.75

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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.