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Finding the Fourth Proportional to 100,399.70, 150,525.74 and 47,846.09

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Solution

The fourth proportional to 100,399.70, 150,525.74 and 47,846.09 is: 71,733.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,399.70 : 150,525.74 = 47,846.09 : x
  2. Step 2: Convert to fraction form
    100,399.70/150,525.74 = 47,846.09/x
  3. Step 3: Cross multiply
    100,399.70x = 150,525.74 × 47,846.09
  4. Step 4: Simplify right side
    100,399.70x = 7,202,068,599.29
  5. Step 5: Solve for x
    x = 7,202,068,599.29/100,399.70
  6. Step 6: Final answer
    x = 71,733.96

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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.