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Finding the Fourth Proportional to 199,820, 275,759.52 and 114,936.96

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Solution

The fourth proportional to 199,820, 275,759.52 and 114,936.96 is: 158,617.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,820 : 275,759.52 = 114,936.96 : x
  2. Step 2: Convert to fraction form
    199,820/275,759.52 = 114,936.96/x
  3. Step 3: Cross multiply
    199,820x = 275,759.52 × 114,936.96
  4. Step 4: Simplify right side
    199,820x = 31,694,960,919.86
  5. Step 5: Solve for x
    x = 31,694,960,919.86/199,820
  6. Step 6: Final answer
    x = 158,617.56

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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.