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Finding the Fourth Proportional to 204,433.80, 306,665.10 and 115,729.80

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Solution

The fourth proportional to 204,433.80, 306,665.10 and 115,729.80 is: 173,602.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,433.80 : 306,665.10 = 115,729.80 : x
  2. Step 2: Convert to fraction form
    204,433.80/306,665.10 = 115,729.80/x
  3. Step 3: Cross multiply
    204,433.80x = 306,665.10 × 115,729.80
  4. Step 4: Simplify right side
    204,433.80x = 35,490,290,689.98
  5. Step 5: Solve for x
    x = 35,490,290,689.98/204,433.80
  6. Step 6: Final answer
    x = 173,602.85

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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.