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Finding the Fourth Proportional to 192,074.22, 287,878.05 and 135,930.87

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Solution

The fourth proportional to 192,074.22, 287,878.05 and 135,930.87 is: 203,731.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,074.22 : 287,878.05 = 135,930.87 : x
  2. Step 2: Convert to fraction form
    192,074.22/287,878.05 = 135,930.87/x
  3. Step 3: Cross multiply
    192,074.22x = 287,878.05 × 135,930.87
  4. Step 4: Simplify right side
    192,074.22x = 39,131,513,790.40
  5. Step 5: Solve for x
    x = 39,131,513,790.40/192,074.22
  6. Step 6: Final answer
    x = 203,731.21

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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.