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Finding the Fourth Proportional to 192,082.40, 287,540.40 and 171,087.20

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Solution

The fourth proportional to 192,082.40, 287,540.40 and 171,087.20 is: 256,111.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,082.40 : 287,540.40 = 171,087.20 : x
  2. Step 2: Convert to fraction form
    192,082.40/287,540.40 = 171,087.20/x
  3. Step 3: Cross multiply
    192,082.40x = 287,540.40 × 171,087.20
  4. Step 4: Simplify right side
    192,082.40x = 49,194,481,922.88
  5. Step 5: Solve for x
    x = 49,194,481,922.88/192,082.40
  6. Step 6: Final answer
    x = 256,111.35

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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.