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Finding the Fourth Proportional to 194,640.60, 268,604.10 and 105,216.60

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Solution

The fourth proportional to 194,640.60, 268,604.10 and 105,216.60 is: 145,198.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,640.60 : 268,604.10 = 105,216.60 : x
  2. Step 2: Convert to fraction form
    194,640.60/268,604.10 = 105,216.60/x
  3. Step 3: Cross multiply
    194,640.60x = 268,604.10 × 105,216.60
  4. Step 4: Simplify right side
    194,640.60x = 28,261,610,148.06
  5. Step 5: Solve for x
    x = 28,261,610,148.06/194,640.60
  6. Step 6: Final answer
    x = 145,198.95

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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.