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Finding the Fourth Proportional to 194,742.56, 268,745.55 and 105,318.56

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Solution

The fourth proportional to 194,742.56, 268,745.55 and 105,318.56 is: 145,340.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,742.56 : 268,745.55 = 105,318.56 : x
  2. Step 2: Convert to fraction form
    194,742.56/268,745.55 = 105,318.56/x
  3. Step 3: Cross multiply
    194,742.56x = 268,745.55 × 105,318.56
  4. Step 4: Simplify right side
    194,742.56x = 28,303,894,609.33
  5. Step 5: Solve for x
    x = 28,303,894,609.33/194,742.56
  6. Step 6: Final answer
    x = 145,340.05

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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.