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Finding the Fourth Proportional to 206,644.72, 309,259.28 and 143,536

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Solution

The fourth proportional to 206,644.72, 309,259.28 and 143,536 is: 214,812.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,644.72 : 309,259.28 = 143,536 : x
  2. Step 2: Convert to fraction form
    206,644.72/309,259.28 = 143,536/x
  3. Step 3: Cross multiply
    206,644.72x = 309,259.28 × 143,536
  4. Step 4: Simplify right side
    206,644.72x = 44,389,840,014.08
  5. Step 5: Solve for x
    x = 44,389,840,014.08/206,644.72
  6. Step 6: Final answer
    x = 214,812.36

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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.