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Finding the Fourth Proportional to 100,311.31, 150,486.64 and 37,131.98

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Solution

The fourth proportional to 100,311.31, 150,486.64 and 37,131.98 is: 55,705.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,311.31 : 150,486.64 = 37,131.98 : x
  2. Step 2: Convert to fraction form
    100,311.31/150,486.64 = 37,131.98/x
  3. Step 3: Cross multiply
    100,311.31x = 150,486.64 × 37,131.98
  4. Step 4: Simplify right side
    100,311.31x = 5,587,866,906.75
  5. Step 5: Solve for x
    x = 5,587,866,906.75/100,311.31
  6. Step 6: Final answer
    x = 55,705.26

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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.