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Finding the Fourth Proportional to 100,136.70, 150,185.91 and 30,016.02

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Solution

The fourth proportional to 100,136.70, 150,185.91 and 30,016.02 is: 45,018.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,136.70 : 150,185.91 = 30,016.02 : x
  2. Step 2: Convert to fraction form
    100,136.70/150,185.91 = 30,016.02/x
  3. Step 3: Cross multiply
    100,136.70x = 150,185.91 × 30,016.02
  4. Step 4: Simplify right side
    100,136.70x = 4,507,983,278.28
  5. Step 5: Solve for x
    x = 4,507,983,278.28/100,136.70
  6. Step 6: Final answer
    x = 45,018.29

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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.