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Finding the Fourth Proportional to 203,212.35, 304,769.50 and 84,819.51

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Solution

The fourth proportional to 203,212.35, 304,769.50 and 84,819.51 is: 127,208.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,212.35 : 304,769.50 = 84,819.51 : x
  2. Step 2: Convert to fraction form
    203,212.35/304,769.50 = 84,819.51/x
  3. Step 3: Cross multiply
    203,212.35x = 304,769.50 × 84,819.51
  4. Step 4: Simplify right side
    203,212.35x = 25,850,397,917.05
  5. Step 5: Solve for x
    x = 25,850,397,917.05/203,212.35
  6. Step 6: Final answer
    x = 127,208.80

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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.