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Finding the Fourth Proportional to 192,129.78, 287,604.12 and 163,786.26

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Solution

The fourth proportional to 192,129.78, 287,604.12 and 163,786.26 is: 245,175.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,129.78 : 287,604.12 = 163,786.26 : x
  2. Step 2: Convert to fraction form
    192,129.78/287,604.12 = 163,786.26/x
  3. Step 3: Cross multiply
    192,129.78x = 287,604.12 × 163,786.26
  4. Step 4: Simplify right side
    192,129.78x = 47,105,603,175.39
  5. Step 5: Solve for x
    x = 47,105,603,175.39/192,129.78
  6. Step 6: Final answer
    x = 245,175.96

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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.