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Finding the Fourth Proportional to 199,686, 275,567.16 and 109,042.14

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Solution

The fourth proportional to 199,686, 275,567.16 and 109,042.14 is: 150,478.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,686 : 275,567.16 = 109,042.14 : x
  2. Step 2: Convert to fraction form
    199,686/275,567.16 = 109,042.14/x
  3. Step 3: Cross multiply
    199,686x = 275,567.16 × 109,042.14
  4. Step 4: Simplify right side
    199,686x = 30,048,432,294.91
  5. Step 5: Solve for x
    x = 30,048,432,294.91/199,686
  6. Step 6: Final answer
    x = 150,478.41

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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.