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Finding the Fourth Proportional to 199,863.75, 275,815.59 and 109,223.54

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Solution

The fourth proportional to 199,863.75, 275,815.59 and 109,223.54 is: 150,730.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,863.75 : 275,815.59 = 109,223.54 : x
  2. Step 2: Convert to fraction form
    199,863.75/275,815.59 = 109,223.54/x
  3. Step 3: Cross multiply
    199,863.75x = 275,815.59 × 109,223.54
  4. Step 4: Simplify right side
    199,863.75x = 30,125,554,372.63
  5. Step 5: Solve for x
    x = 30,125,554,372.63/199,863.75
  6. Step 6: Final answer
    x = 150,730.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.