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Finding the Fourth Proportional to 204,604.32, 306,887.04 and 71,460

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Solution

The fourth proportional to 204,604.32, 306,887.04 and 71,460 is: 107,183.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,604.32 : 306,887.04 = 71,460 : x
  2. Step 2: Convert to fraction form
    204,604.32/306,887.04 = 71,460/x
  3. Step 3: Cross multiply
    204,604.32x = 306,887.04 × 71,460
  4. Step 4: Simplify right side
    204,604.32x = 21,930,147,878.40
  5. Step 5: Solve for x
    x = 21,930,147,878.40/204,604.32
  6. Step 6: Final answer
    x = 107,183.21

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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.