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Finding the Fourth Proportional to 220,694.25, 330,811.75 and 102,268.20

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Solution

The fourth proportional to 220,694.25, 330,811.75 and 102,268.20 is: 153,295.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,694.25 : 330,811.75 = 102,268.20 : x
  2. Step 2: Convert to fraction form
    220,694.25/330,811.75 = 102,268.20/x
  3. Step 3: Cross multiply
    220,694.25x = 330,811.75 × 102,268.20
  4. Step 4: Simplify right side
    220,694.25x = 33,831,523,004.47
  5. Step 5: Solve for x
    x = 33,831,523,004.47/220,694.25
  6. Step 6: Final answer
    x = 153,295.89

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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.