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Finding the Fourth Proportional to 201,911.20, 302,866.80 and 188,789.20

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Solution

The fourth proportional to 201,911.20, 302,866.80 and 188,789.20 is: 283,183.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,911.20 : 302,866.80 = 188,789.20 : x
  2. Step 2: Convert to fraction form
    201,911.20/302,866.80 = 188,789.20/x
  3. Step 3: Cross multiply
    201,911.20x = 302,866.80 × 188,789.20
  4. Step 4: Simplify right side
    201,911.20x = 57,177,980,878.56
  5. Step 5: Solve for x
    x = 57,177,980,878.56/201,911.20
  6. Step 6: Final answer
    x = 283,183.80

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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.