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Finding the Fourth Proportional to 159,991.81, 239,845.10 and 75,699.36

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Solution

The fourth proportional to 159,991.81, 239,845.10 and 75,699.36 is: 113,481.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,991.81 : 239,845.10 = 75,699.36 : x
  2. Step 2: Convert to fraction form
    159,991.81/239,845.10 = 75,699.36/x
  3. Step 3: Cross multiply
    159,991.81x = 239,845.10 × 75,699.36
  4. Step 4: Simplify right side
    159,991.81x = 18,156,120,616.45
  5. Step 5: Solve for x
    x = 18,156,120,616.45/159,991.81
  6. Step 6: Final answer
    x = 113,481.56

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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.