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Finding the Fourth Proportional to 133,468.61, 200,108.42 and 66,861.23

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Solution

The fourth proportional to 133,468.61, 200,108.42 and 66,861.23 is: 100,244.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,468.61 : 200,108.42 = 66,861.23 : x
  2. Step 2: Convert to fraction form
    133,468.61/200,108.42 = 66,861.23/x
  3. Step 3: Cross multiply
    133,468.61x = 200,108.42 × 66,861.23
  4. Step 4: Simplify right side
    133,468.61x = 13,379,494,760.25
  5. Step 5: Solve for x
    x = 13,379,494,760.25/133,468.61
  6. Step 6: Final answer
    x = 100,244.51

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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.