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Finding the Fourth Proportional to 226,590, 312,694.74 and 126,007.44

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Solution

The fourth proportional to 226,590, 312,694.74 and 126,007.44 is: 173,890.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,590 : 312,694.74 = 126,007.44 : x
  2. Step 2: Convert to fraction form
    226,590/312,694.74 = 126,007.44/x
  3. Step 3: Cross multiply
    226,590x = 312,694.74 × 126,007.44
  4. Step 4: Simplify right side
    226,590x = 39,401,863,688.87
  5. Step 5: Solve for x
    x = 39,401,863,688.87/226,590
  6. Step 6: Final answer
    x = 173,890.57

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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.