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Finding the Fourth Proportional to 206,164.96, 309,057.16 and 143,014.88

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Solution

The fourth proportional to 206,164.96, 309,057.16 and 143,014.88 is: 214,390.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,164.96 : 309,057.16 = 143,014.88 : x
  2. Step 2: Convert to fraction form
    206,164.96/309,057.16 = 143,014.88/x
  3. Step 3: Cross multiply
    206,164.96x = 309,057.16 × 143,014.88
  4. Step 4: Simplify right side
    206,164.96x = 44,199,771,828.85
  5. Step 5: Solve for x
    x = 44,199,771,828.85/206,164.96
  6. Step 6: Final answer
    x = 214,390.32

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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.