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Finding the Fourth Proportional to 209,453.44, 289,053.60 and 120,046.72

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Solution

The fourth proportional to 209,453.44, 289,053.60 and 120,046.72 is: 165,668.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,453.44 : 289,053.60 = 120,046.72 : x
  2. Step 2: Convert to fraction form
    209,453.44/289,053.60 = 120,046.72/x
  3. Step 3: Cross multiply
    209,453.44x = 289,053.60 × 120,046.72
  4. Step 4: Simplify right side
    209,453.44x = 34,699,936,584.19
  5. Step 5: Solve for x
    x = 34,699,936,584.19/209,453.44
  6. Step 6: Final answer
    x = 165,668.97

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1.5x scale

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.