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Finding the Fourth Proportional to 206,873.28, 309,697.52 and 127,733.04

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Solution

The fourth proportional to 206,873.28, 309,697.52 and 127,733.04 is: 191,221.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,873.28 : 309,697.52 = 127,733.04 : x
  2. Step 2: Convert to fraction form
    206,873.28/309,697.52 = 127,733.04/x
  3. Step 3: Cross multiply
    206,873.28x = 309,697.52 × 127,733.04
  4. Step 4: Simplify right side
    206,873.28x = 39,558,605,710.06
  5. Step 5: Solve for x
    x = 39,558,605,710.06/206,873.28
  6. Step 6: Final answer
    x = 191,221.44

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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.