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Finding the Fourth Proportional to 205,999.56, 308,964.78 and 58,221

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Solution

The fourth proportional to 205,999.56, 308,964.78 and 58,221 is: 87,321.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,999.56 : 308,964.78 = 58,221 : x
  2. Step 2: Convert to fraction form
    205,999.56/308,964.78 = 58,221/x
  3. Step 3: Cross multiply
    205,999.56x = 308,964.78 × 58,221
  4. Step 4: Simplify right side
    205,999.56x = 17,988,238,456.38
  5. Step 5: Solve for x
    x = 17,988,238,456.38/205,999.56
  6. Step 6: Final answer
    x = 87,321.73

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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.