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Finding the Fourth Proportional to 206,111.20, 309,164.30 and 116,160.70

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Solution

The fourth proportional to 206,111.20, 309,164.30 and 116,160.70 is: 174,239.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,111.20 : 309,164.30 = 116,160.70 : x
  2. Step 2: Convert to fraction form
    206,111.20/309,164.30 = 116,160.70/x
  3. Step 3: Cross multiply
    206,111.20x = 309,164.30 × 116,160.70
  4. Step 4: Simplify right side
    206,111.20x = 35,912,741,503.01
  5. Step 5: Solve for x
    x = 35,912,741,503.01/206,111.20
  6. Step 6: Final answer
    x = 174,239.64

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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.