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Finding the Fourth Proportional to 100,405.81, 150,512.66 and 37,208.96

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Solution

The fourth proportional to 100,405.81, 150,512.66 and 37,208.96 is: 55,777.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,405.81 : 150,512.66 = 37,208.96 : x
  2. Step 2: Convert to fraction form
    100,405.81/150,512.66 = 37,208.96/x
  3. Step 3: Cross multiply
    100,405.81x = 150,512.66 × 37,208.96
  4. Step 4: Simplify right side
    100,405.81x = 5,600,418,606.83
  5. Step 5: Solve for x
    x = 5,600,418,606.83/100,405.81
  6. Step 6: Final answer
    x = 55,777.84

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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.