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Finding the Fourth Proportional to 143,213.14, 214,880.46 and 76,636

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Solution

The fourth proportional to 143,213.14, 214,880.46 and 76,636 is: 114,986.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,213.14 : 214,880.46 = 76,636 : x
  2. Step 2: Convert to fraction form
    143,213.14/214,880.46 = 76,636/x
  3. Step 3: Cross multiply
    143,213.14x = 214,880.46 × 76,636
  4. Step 4: Simplify right side
    143,213.14x = 16,467,578,932.56
  5. Step 5: Solve for x
    x = 16,467,578,932.56/143,213.14
  6. Step 6: Final answer
    x = 114,986.51

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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.