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Finding the Fourth Proportional to 204,881.20, 307,321.80 and 134,022.40

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Solution

The fourth proportional to 204,881.20, 307,321.80 and 134,022.40 is: 201,033.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,881.20 : 307,321.80 = 134,022.40 : x
  2. Step 2: Convert to fraction form
    204,881.20/307,321.80 = 134,022.40/x
  3. Step 3: Cross multiply
    204,881.20x = 307,321.80 × 134,022.40
  4. Step 4: Simplify right side
    204,881.20x = 41,188,005,208.32
  5. Step 5: Solve for x
    x = 41,188,005,208.32/204,881.20
  6. Step 6: Final answer
    x = 201,033.60

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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.