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Finding the Fourth Proportional to 199,512.72, 299,269.08 and 133,082.60

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Solution

The fourth proportional to 199,512.72, 299,269.08 and 133,082.60 is: 199,623.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,512.72 : 299,269.08 = 133,082.60 : x
  2. Step 2: Convert to fraction form
    199,512.72/299,269.08 = 133,082.60/x
  3. Step 3: Cross multiply
    199,512.72x = 299,269.08 × 133,082.60
  4. Step 4: Simplify right side
    199,512.72x = 39,827,505,769.66
  5. Step 5: Solve for x
    x = 39,827,505,769.66/199,512.72
  6. Step 6: Final answer
    x = 199,623.89

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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.