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Finding the Fourth Proportional to 100,243.68, 150,388.75 and 29,168.00

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Solution

The fourth proportional to 100,243.68, 150,388.75 and 29,168.00 is: 43,758.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,243.68 : 150,388.75 = 29,168.00 : x
  2. Step 2: Convert to fraction form
    100,243.68/150,388.75 = 29,168.00/x
  3. Step 3: Cross multiply
    100,243.68x = 150,388.75 × 29,168.00
  4. Step 4: Simplify right side
    100,243.68x = 4,386,538,908.47
  5. Step 5: Solve for x
    x = 4,386,538,908.47/100,243.68
  6. Step 6: Final answer
    x = 43,758.76

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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.