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Finding the Fourth Proportional to 213,906, 321,174.38 and 119,320.96

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Solution

The fourth proportional to 213,906, 321,174.38 and 119,320.96 is: 179,157.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,906 : 321,174.38 = 119,320.96 : x
  2. Step 2: Convert to fraction form
    213,906/321,174.38 = 119,320.96/x
  3. Step 3: Cross multiply
    213,906x = 321,174.38 × 119,320.96
  4. Step 4: Simplify right side
    213,906x = 38,322,835,349.00
  5. Step 5: Solve for x
    x = 38,322,835,349.00/213,906
  6. Step 6: Final answer
    x = 179,157.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.