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Finding the Fourth Proportional to 206,186.67, 309,192.53 and 73,100.43

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Solution

The fourth proportional to 206,186.67, 309,192.53 and 73,100.43 is: 109,619.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,186.67 : 309,192.53 = 73,100.43 : x
  2. Step 2: Convert to fraction form
    206,186.67/309,192.53 = 73,100.43/x
  3. Step 3: Cross multiply
    206,186.67x = 309,192.53 × 73,100.43
  4. Step 4: Simplify right side
    206,186.67x = 22,602,106,530.29
  5. Step 5: Solve for x
    x = 22,602,106,530.29/206,186.67
  6. Step 6: Final answer
    x = 109,619.63

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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.