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Finding the Fourth Proportional to 219,700, 303,186.54 and 119,098

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Solution

The fourth proportional to 219,700, 303,186.54 and 119,098 is: 164,355.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,700 : 303,186.54 = 119,098 : x
  2. Step 2: Convert to fraction form
    219,700/303,186.54 = 119,098/x
  3. Step 3: Cross multiply
    219,700x = 303,186.54 × 119,098
  4. Step 4: Simplify right side
    219,700x = 36,108,910,540.92
  5. Step 5: Solve for x
    x = 36,108,910,540.92/219,700
  6. Step 6: Final answer
    x = 164,355.53

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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.