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Finding the Fourth Proportional to 188,114.94, 282,171.63 and 68,143.80

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Solution

The fourth proportional to 188,114.94, 282,171.63 and 68,143.80 is: 102,215.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,114.94 : 282,171.63 = 68,143.80 : x
  2. Step 2: Convert to fraction form
    188,114.94/282,171.63 = 68,143.80/x
  3. Step 3: Cross multiply
    188,114.94x = 282,171.63 × 68,143.80
  4. Step 4: Simplify right side
    188,114.94x = 19,228,247,120.39
  5. Step 5: Solve for x
    x = 19,228,247,120.39/188,114.94
  6. Step 6: Final answer
    x = 102,215.42

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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.