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Finding the Fourth Proportional to 100,120, 150,121.68 and 43,957.84

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Solution

The fourth proportional to 100,120, 150,121.68 and 43,957.84 is: 65,911.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,120 : 150,121.68 = 43,957.84 : x
  2. Step 2: Convert to fraction form
    100,120/150,121.68 = 43,957.84/x
  3. Step 3: Cross multiply
    100,120x = 150,121.68 × 43,957.84
  4. Step 4: Simplify right side
    100,120x = 6,599,024,789.97
  5. Step 5: Solve for x
    x = 6,599,024,789.97/100,120
  6. Step 6: Final answer
    x = 65,911.15

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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.