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Finding the Fourth Proportional to 147,309, 203,286.42 and 80,241

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Solution

The fourth proportional to 147,309, 203,286.42 and 80,241 is: 110,732.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,309 : 203,286.42 = 80,241 : x
  2. Step 2: Convert to fraction form
    147,309/203,286.42 = 80,241/x
  3. Step 3: Cross multiply
    147,309x = 203,286.42 × 80,241
  4. Step 4: Simplify right side
    147,309x = 16,311,905,627.22
  5. Step 5: Solve for x
    x = 16,311,905,627.22/147,309
  6. Step 6: Final answer
    x = 110,732.58

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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.