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Finding the Fourth Proportional to 219,805, 303,331.08 and 119,203

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Solution

The fourth proportional to 219,805, 303,331.08 and 119,203 is: 164,500.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,805 : 303,331.08 = 119,203 : x
  2. Step 2: Convert to fraction form
    219,805/303,331.08 = 119,203/x
  3. Step 3: Cross multiply
    219,805x = 303,331.08 × 119,203
  4. Step 4: Simplify right side
    219,805x = 36,157,974,729.24
  5. Step 5: Solve for x
    x = 36,157,974,729.24/219,805
  6. Step 6: Final answer
    x = 164,500.24

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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.