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Finding the Fourth Proportional to 100,405.31, 150,511.91 and 37,208.45

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Solution

The fourth proportional to 100,405.31, 150,511.91 and 37,208.45 is: 55,777.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,405.31 : 150,511.91 = 37,208.45 : x
  2. Step 2: Convert to fraction form
    100,405.31/150,511.91 = 37,208.45/x
  3. Step 3: Cross multiply
    100,405.31x = 150,511.91 × 37,208.45
  4. Step 4: Simplify right side
    100,405.31x = 5,600,315,067.88
  5. Step 5: Solve for x
    x = 5,600,315,067.88/100,405.31
  6. Step 6: Final answer
    x = 55,777.08

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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.