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Finding the Fourth Proportional to 206,163.63, 309,279.06 and 73,015.02

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Solution

The fourth proportional to 206,163.63, 309,279.06 and 73,015.02 is: 109,534.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,163.63 : 309,279.06 = 73,015.02 : x
  2. Step 2: Convert to fraction form
    206,163.63/309,279.06 = 73,015.02/x
  3. Step 3: Cross multiply
    206,163.63x = 309,279.06 × 73,015.02
  4. Step 4: Simplify right side
    206,163.63x = 22,582,016,751.48
  5. Step 5: Solve for x
    x = 22,582,016,751.48/206,163.63
  6. Step 6: Final answer
    x = 109,534.44

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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.