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Finding the Fourth Proportional to 203,911.20, 305,866.80 and 188,164.80

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Solution

The fourth proportional to 203,911.20, 305,866.80 and 188,164.80 is: 282,247.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,911.20 : 305,866.80 = 188,164.80 : x
  2. Step 2: Convert to fraction form
    203,911.20/305,866.80 = 188,164.80/x
  3. Step 3: Cross multiply
    203,911.20x = 305,866.80 × 188,164.80
  4. Step 4: Simplify right side
    203,911.20x = 57,553,365,248.64
  5. Step 5: Solve for x
    x = 57,553,365,248.64/203,911.20
  6. Step 6: Final answer
    x = 282,247.20

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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.