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Finding the Fourth Proportional to 100,615.97, 150,945.74 and 30,500.57

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Solution

The fourth proportional to 100,615.97, 150,945.74 and 30,500.57 is: 45,757.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,615.97 : 150,945.74 = 30,500.57 : x
  2. Step 2: Convert to fraction form
    100,615.97/150,945.74 = 30,500.57/x
  3. Step 3: Cross multiply
    100,615.97x = 150,945.74 × 30,500.57
  4. Step 4: Simplify right side
    100,615.97x = 4,603,931,448.31
  5. Step 5: Solve for x
    x = 4,603,931,448.31/100,615.97
  6. Step 6: Final answer
    x = 45,757.46

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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.