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Finding the Fourth Proportional to 198,504, 274,062.24 and 138,052.80

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Solution

The fourth proportional to 198,504, 274,062.24 and 138,052.80 is: 190,600.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,504 : 274,062.24 = 138,052.80 : x
  2. Step 2: Convert to fraction form
    198,504/274,062.24 = 138,052.80/x
  3. Step 3: Cross multiply
    198,504x = 274,062.24 × 138,052.80
  4. Step 4: Simplify right side
    198,504x = 37,835,059,606.27
  5. Step 5: Solve for x
    x = 37,835,059,606.27/198,504
  6. Step 6: Final answer
    x = 190,600.99

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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.