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Finding the Fourth Proportional to 194,517.58, 268,523.88 and 137,203.60

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Solution

The fourth proportional to 194,517.58, 268,523.88 and 137,203.60 is: 189,404.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,517.58 : 268,523.88 = 137,203.60 : x
  2. Step 2: Convert to fraction form
    194,517.58/268,523.88 = 137,203.60/x
  3. Step 3: Cross multiply
    194,517.58x = 268,523.88 × 137,203.60
  4. Step 4: Simplify right side
    194,517.58x = 36,842,443,021.97
  5. Step 5: Solve for x
    x = 36,842,443,021.97/194,517.58
  6. Step 6: Final answer
    x = 189,404.18

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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.