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Finding the Fourth Proportional to 198,936, 274,531.68 and 109,512

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Solution

The fourth proportional to 198,936, 274,531.68 and 109,512 is: 151,126.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,936 : 274,531.68 = 109,512 : x
  2. Step 2: Convert to fraction form
    198,936/274,531.68 = 109,512/x
  3. Step 3: Cross multiply
    198,936x = 274,531.68 × 109,512
  4. Step 4: Simplify right side
    198,936x = 30,064,513,340.16
  5. Step 5: Solve for x
    x = 30,064,513,340.16/198,936
  6. Step 6: Final answer
    x = 151,126.56

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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.