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Finding the Fourth Proportional to 206,771.25, 309,880.93 and 110,511.13

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Solution

The fourth proportional to 206,771.25, 309,880.93 and 110,511.13 is: 165,619.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,771.25 : 309,880.93 = 110,511.13 : x
  2. Step 2: Convert to fraction form
    206,771.25/309,880.93 = 110,511.13/x
  3. Step 3: Cross multiply
    206,771.25x = 309,880.93 × 110,511.13
  4. Step 4: Simplify right side
    206,771.25x = 34,245,292,084.20
  5. Step 5: Solve for x
    x = 34,245,292,084.20/206,771.25
  6. Step 6: Final answer
    x = 165,619.21

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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.