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Finding the Fourth Proportional to 147,786.44, 203,944.02 and 80,717

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Solution

The fourth proportional to 147,786.44, 203,944.02 and 80,717 is: 111,388.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,786.44 : 203,944.02 = 80,717 : x
  2. Step 2: Convert to fraction form
    147,786.44/203,944.02 = 80,717/x
  3. Step 3: Cross multiply
    147,786.44x = 203,944.02 × 80,717
  4. Step 4: Simplify right side
    147,786.44x = 16,461,749,462.34
  5. Step 5: Solve for x
    x = 16,461,749,462.34/147,786.44
  6. Step 6: Final answer
    x = 111,388.77

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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.