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Finding the Fourth Proportional to 199,153.38, 274,520.43 and 135,380.46

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Solution

The fourth proportional to 199,153.38, 274,520.43 and 135,380.46 is: 186,613.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,153.38 : 274,520.43 = 135,380.46 : x
  2. Step 2: Convert to fraction form
    199,153.38/274,520.43 = 135,380.46/x
  3. Step 3: Cross multiply
    199,153.38x = 274,520.43 × 135,380.46
  4. Step 4: Simplify right side
    199,153.38x = 37,164,702,092.80
  5. Step 5: Solve for x
    x = 37,164,702,092.80/199,153.38
  6. Step 6: Final answer
    x = 186,613.46

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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.