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Finding the Fourth Proportional to 206,385.36, 309,592.44 and 81,726

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Solution

The fourth proportional to 206,385.36, 309,592.44 and 81,726 is: 122,594.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,385.36 : 309,592.44 = 81,726 : x
  2. Step 2: Convert to fraction form
    206,385.36/309,592.44 = 81,726/x
  3. Step 3: Cross multiply
    206,385.36x = 309,592.44 × 81,726
  4. Step 4: Simplify right side
    206,385.36x = 25,301,751,751.44
  5. Step 5: Solve for x
    x = 25,301,751,751.44/206,385.36
  6. Step 6: Final answer
    x = 122,594.70

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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.