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Finding the Fourth Proportional to 209,431.87, 313,850.82 and 87,721.28

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Solution

The fourth proportional to 209,431.87, 313,850.82 and 87,721.28 is: 131,457.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,431.87 : 313,850.82 = 87,721.28 : x
  2. Step 2: Convert to fraction form
    209,431.87/313,850.82 = 87,721.28/x
  3. Step 3: Cross multiply
    209,431.87x = 313,850.82 × 87,721.28
  4. Step 4: Simplify right side
    209,431.87x = 27,531,397,361.50
  5. Step 5: Solve for x
    x = 27,531,397,361.50/209,431.87
  6. Step 6: Final answer
    x = 131,457.53

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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.