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Finding the Fourth Proportional to 133,654.62, 200,613.15 and 100,455.96

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Solution

The fourth proportional to 133,654.62, 200,613.15 and 100,455.96 is: 150,782.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,654.62 : 200,613.15 = 100,455.96 : x
  2. Step 2: Convert to fraction form
    133,654.62/200,613.15 = 100,455.96/x
  3. Step 3: Cross multiply
    133,654.62x = 200,613.15 × 100,455.96
  4. Step 4: Simplify right side
    133,654.62x = 20,152,786,571.87
  5. Step 5: Solve for x
    x = 20,152,786,571.87/133,654.62
  6. Step 6: Final answer
    x = 150,782.57

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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.