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Finding the Fourth Proportional to 100,138.34, 150,259.28 and 44,017.85

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Solution

The fourth proportional to 100,138.34, 150,259.28 and 44,017.85 is: 66,049.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,138.34 : 150,259.28 = 44,017.85 : x
  2. Step 2: Convert to fraction form
    100,138.34/150,259.28 = 44,017.85/x
  3. Step 3: Cross multiply
    100,138.34x = 150,259.28 × 44,017.85
  4. Step 4: Simplify right side
    100,138.34x = 6,614,089,476.76
  5. Step 5: Solve for x
    x = 6,614,089,476.76/100,138.34
  6. Step 6: Final answer
    x = 66,049.53

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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.