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Finding the Fourth Proportional to 219,982.50, 303,576.12 and 119,380.50

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Solution

The fourth proportional to 219,982.50, 303,576.12 and 119,380.50 is: 164,745.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,982.50 : 303,576.12 = 119,380.50 : x
  2. Step 2: Convert to fraction form
    219,982.50/303,576.12 = 119,380.50/x
  3. Step 3: Cross multiply
    219,982.50x = 303,576.12 × 119,380.50
  4. Step 4: Simplify right side
    219,982.50x = 36,241,068,993.66
  5. Step 5: Solve for x
    x = 36,241,068,993.66/219,982.50
  6. Step 6: Final answer
    x = 164,745.24

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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.