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Finding the Fourth Proportional to 206,360.88, 309,628.80 and 112,757.28

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Solution

The fourth proportional to 206,360.88, 309,628.80 and 112,757.28 is: 169,183.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,360.88 : 309,628.80 = 112,757.28 : x
  2. Step 2: Convert to fraction form
    206,360.88/309,628.80 = 112,757.28/x
  3. Step 3: Cross multiply
    206,360.88x = 309,628.80 × 112,757.28
  4. Step 4: Simplify right side
    206,360.88x = 34,912,901,297.66
  5. Step 5: Solve for x
    x = 34,912,901,297.66/206,360.88
  6. Step 6: Final answer
    x = 169,183.72

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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.