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Finding the Fourth Proportional to 199,684.50, 275,565.09 and 109,040.64

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Solution

The fourth proportional to 199,684.50, 275,565.09 and 109,040.64 is: 150,476.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,684.50 : 275,565.09 = 109,040.64 : x
  2. Step 2: Convert to fraction form
    199,684.50/275,565.09 = 109,040.64/x
  3. Step 3: Cross multiply
    199,684.50x = 275,565.09 × 109,040.64
  4. Step 4: Simplify right side
    199,684.50x = 30,047,793,230.05
  5. Step 5: Solve for x
    x = 30,047,793,230.05/199,684.50
  6. Step 6: Final answer
    x = 150,476.34

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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.