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Finding the Fourth Proportional to 236,183.72, 354,184 and 78,369.80

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Solution

The fourth proportional to 236,183.72, 354,184 and 78,369.80 is: 117,524.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,183.72 : 354,184 = 78,369.80 : x
  2. Step 2: Convert to fraction form
    236,183.72/354,184 = 78,369.80/x
  3. Step 3: Cross multiply
    236,183.72x = 354,184 × 78,369.80
  4. Step 4: Simplify right side
    236,183.72x = 27,757,329,243.20
  5. Step 5: Solve for x
    x = 27,757,329,243.20/236,183.72
  6. Step 6: Final answer
    x = 117,524.31

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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.