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Finding the Fourth Proportional to 231,950.52, 319,379.94 and 203,105.16

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Solution

The fourth proportional to 231,950.52, 319,379.94 and 203,105.16 is: 279,661.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,950.52 : 319,379.94 = 203,105.16 : x
  2. Step 2: Convert to fraction form
    231,950.52/319,379.94 = 203,105.16/x
  3. Step 3: Cross multiply
    231,950.52x = 319,379.94 × 203,105.16
  4. Step 4: Simplify right side
    231,950.52x = 64,867,713,814.49
  5. Step 5: Solve for x
    x = 64,867,713,814.49/231,950.52
  6. Step 6: Final answer
    x = 279,661.86

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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.