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Finding the Fourth Proportional to 133,849.62, 200,768.66 and 45,102.78

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Solution

The fourth proportional to 133,849.62, 200,768.66 and 45,102.78 is: 67,652.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,849.62 : 200,768.66 = 45,102.78 : x
  2. Step 2: Convert to fraction form
    133,849.62/200,768.66 = 45,102.78/x
  3. Step 3: Cross multiply
    133,849.62x = 200,768.66 × 45,102.78
  4. Step 4: Simplify right side
    133,849.62x = 9,055,224,702.87
  5. Step 5: Solve for x
    x = 9,055,224,702.87/133,849.62
  6. Step 6: Final answer
    x = 67,652.23

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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.