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Finding the Fourth Proportional to 206,164.62, 308,955.30 and 87,716.70

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Solution

The fourth proportional to 206,164.62, 308,955.30 and 87,716.70 is: 131,450.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,164.62 : 308,955.30 = 87,716.70 : x
  2. Step 2: Convert to fraction form
    206,164.62/308,955.30 = 87,716.70/x
  3. Step 3: Cross multiply
    206,164.62x = 308,955.30 × 87,716.70
  4. Step 4: Simplify right side
    206,164.62x = 27,100,539,363.51
  5. Step 5: Solve for x
    x = 27,100,539,363.51/206,164.62
  6. Step 6: Final answer
    x = 131,450.97

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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.