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Finding the Fourth Proportional to 209,576.88, 313,879.32 and 120,609.72

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Solution

The fourth proportional to 209,576.88, 313,879.32 and 120,609.72 is: 180,634.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,576.88 : 313,879.32 = 120,609.72 : x
  2. Step 2: Convert to fraction form
    209,576.88/313,879.32 = 120,609.72/x
  3. Step 3: Cross multiply
    209,576.88x = 313,879.32 × 120,609.72
  4. Step 4: Simplify right side
    209,576.88x = 37,856,896,898.99
  5. Step 5: Solve for x
    x = 37,856,896,898.99/209,576.88
  6. Step 6: Final answer
    x = 180,634.89

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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.