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Finding the Fourth Proportional to 209,980.44, 289,766.70 and 114,489

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Solution

The fourth proportional to 209,980.44, 289,766.70 and 114,489 is: 157,991.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,980.44 : 289,766.70 = 114,489 : x
  2. Step 2: Convert to fraction form
    209,980.44/289,766.70 = 114,489/x
  3. Step 3: Cross multiply
    209,980.44x = 289,766.70 × 114,489
  4. Step 4: Simplify right side
    209,980.44x = 33,175,099,716.30
  5. Step 5: Solve for x
    x = 33,175,099,716.30/209,980.44
  6. Step 6: Final answer
    x = 157,991.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.