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Finding the Fourth Proportional to 206,572.20, 309,858.30 and 143,258.55

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Solution

The fourth proportional to 206,572.20, 309,858.30 and 143,258.55 is: 214,887.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,572.20 : 309,858.30 = 143,258.55 : x
  2. Step 2: Convert to fraction form
    206,572.20/309,858.30 = 143,258.55/x
  3. Step 3: Cross multiply
    206,572.20x = 309,858.30 × 143,258.55
  4. Step 4: Simplify right side
    206,572.20x = 44,389,850,763.47
  5. Step 5: Solve for x
    x = 44,389,850,763.47/206,572.20
  6. Step 6: Final answer
    x = 214,887.83

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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.