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Finding the Fourth Proportional to 206,031.36, 309,093.36 and 111,259.44

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Solution

The fourth proportional to 206,031.36, 309,093.36 and 111,259.44 is: 166,914.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,031.36 : 309,093.36 = 111,259.44 : x
  2. Step 2: Convert to fraction form
    206,031.36/309,093.36 = 111,259.44/x
  3. Step 3: Cross multiply
    206,031.36x = 309,093.36 × 111,259.44
  4. Step 4: Simplify right side
    206,031.36x = 34,389,554,141.32
  5. Step 5: Solve for x
    x = 34,389,554,141.32/206,031.36
  6. Step 6: Final answer
    x = 166,914.17

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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.