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Finding the Fourth Proportional to 206,369.90, 309,554.87 and 136,232.81

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Solution

The fourth proportional to 206,369.90, 309,554.87 and 136,232.81 is: 204,349.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,369.90 : 309,554.87 = 136,232.81 : x
  2. Step 2: Convert to fraction form
    206,369.90/309,554.87 = 136,232.81/x
  3. Step 3: Cross multiply
    206,369.90x = 309,554.87 × 136,232.81
  4. Step 4: Simplify right side
    206,369.90x = 42,171,527,560.35
  5. Step 5: Solve for x
    x = 42,171,527,560.35/206,369.90
  6. Step 6: Final answer
    x = 204,349.22

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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.