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Finding the Fourth Proportional to 231,736, 319,795.68 and 125,752

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Solution

The fourth proportional to 231,736, 319,795.68 and 125,752 is: 173,537.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,736 : 319,795.68 = 125,752 : x
  2. Step 2: Convert to fraction form
    231,736/319,795.68 = 125,752/x
  3. Step 3: Cross multiply
    231,736x = 319,795.68 × 125,752
  4. Step 4: Simplify right side
    231,736x = 40,214,946,351.36
  5. Step 5: Solve for x
    x = 40,214,946,351.36/231,736
  6. Step 6: Final answer
    x = 173,537.76

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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.