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Finding the Fourth Proportional to 220,789.92, 330,954.84 and 102,363.60

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Solution

The fourth proportional to 220,789.92, 330,954.84 and 102,363.60 is: 153,438.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,789.92 : 330,954.84 = 102,363.60 : x
  2. Step 2: Convert to fraction form
    220,789.92/330,954.84 = 102,363.60/x
  3. Step 3: Cross multiply
    220,789.92x = 330,954.84 × 102,363.60
  4. Step 4: Simplify right side
    220,789.92x = 33,877,728,859.82
  5. Step 5: Solve for x
    x = 33,877,728,859.82/220,789.92
  6. Step 6: Final answer
    x = 153,438.75

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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.