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Finding the Fourth Proportional to 209,317.05, 313,751.97 and 96,866.37

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Solution

The fourth proportional to 209,317.05, 313,751.97 and 96,866.37 is: 145,196.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,317.05 : 313,751.97 = 96,866.37 : x
  2. Step 2: Convert to fraction form
    209,317.05/313,751.97 = 96,866.37/x
  3. Step 3: Cross multiply
    209,317.05x = 313,751.97 × 96,866.37
  4. Step 4: Simplify right side
    209,317.05x = 30,392,014,414.25
  5. Step 5: Solve for x
    x = 30,392,014,414.25/209,317.05
  6. Step 6: Final answer
    x = 145,196.08

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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.