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Finding the Fourth Proportional to 206,866.28, 309,687.06 and 127,726.04

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Solution

The fourth proportional to 206,866.28, 309,687.06 and 127,726.04 is: 191,210.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,866.28 : 309,687.06 = 127,726.04 : x
  2. Step 2: Convert to fraction form
    206,866.28/309,687.06 = 127,726.04/x
  3. Step 3: Cross multiply
    206,866.28x = 309,687.06 × 127,726.04
  4. Step 4: Simplify right side
    206,866.28x = 39,555,101,813.04
  5. Step 5: Solve for x
    x = 39,555,101,813.04/206,866.28
  6. Step 6: Final answer
    x = 191,210.97

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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.