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Finding the Fourth Proportional to 206,940.30, 310,410.45 and 143,954.70

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Solution

The fourth proportional to 206,940.30, 310,410.45 and 143,954.70 is: 215,932.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,940.30 : 310,410.45 = 143,954.70 : x
  2. Step 2: Convert to fraction form
    206,940.30/310,410.45 = 143,954.70/x
  3. Step 3: Cross multiply
    206,940.30x = 310,410.45 × 143,954.70
  4. Step 4: Simplify right side
    206,940.30x = 44,685,043,206.62
  5. Step 5: Solve for x
    x = 44,685,043,206.62/206,940.30
  6. Step 6: Final answer
    x = 215,932.05

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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.