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Finding the Fourth Proportional to 203,802.48, 305,586 and 78,997.68

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Solution

The fourth proportional to 203,802.48, 305,586 and 78,997.68 is: 118,450.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,802.48 : 305,586 = 78,997.68 : x
  2. Step 2: Convert to fraction form
    203,802.48/305,586 = 78,997.68/x
  3. Step 3: Cross multiply
    203,802.48x = 305,586 × 78,997.68
  4. Step 4: Simplify right side
    203,802.48x = 24,140,585,040.48
  5. Step 5: Solve for x
    x = 24,140,585,040.48/203,802.48
  6. Step 6: Final answer
    x = 118,450.89

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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.