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Finding the Fourth Proportional to 143,199.44, 214,859.64 and 76,622

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Solution

The fourth proportional to 143,199.44, 214,859.64 and 76,622 is: 114,965.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,199.44 : 214,859.64 = 76,622 : x
  2. Step 2: Convert to fraction form
    143,199.44/214,859.64 = 76,622/x
  3. Step 3: Cross multiply
    143,199.44x = 214,859.64 × 76,622
  4. Step 4: Simplify right side
    143,199.44x = 16,462,975,336.08
  5. Step 5: Solve for x
    x = 16,462,975,336.08/143,199.44
  6. Step 6: Final answer
    x = 114,965.36

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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.