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Finding the Fourth Proportional to 219,901.61, 303,464.81 and 119,299.61

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Solution

The fourth proportional to 219,901.61, 303,464.81 and 119,299.61 is: 164,633.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,901.61 : 303,464.81 = 119,299.61 : x
  2. Step 2: Convert to fraction form
    219,901.61/303,464.81 = 119,299.61/x
  3. Step 3: Cross multiply
    219,901.61x = 303,464.81 × 119,299.61
  4. Step 4: Simplify right side
    219,901.61x = 36,203,233,481.72
  5. Step 5: Solve for x
    x = 36,203,233,481.72/219,901.61
  6. Step 6: Final answer
    x = 164,633.78

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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.