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Finding the Fourth Proportional to 100,113.56, 150,175.33 and 29,986.19

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Solution

The fourth proportional to 100,113.56, 150,175.33 and 29,986.19 is: 44,980.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,113.56 : 150,175.33 = 29,986.19 : x
  2. Step 2: Convert to fraction form
    100,113.56/150,175.33 = 29,986.19/x
  3. Step 3: Cross multiply
    100,113.56x = 150,175.33 × 29,986.19
  4. Step 4: Simplify right side
    100,113.56x = 4,503,185,978.69
  5. Step 5: Solve for x
    x = 4,503,185,978.69/100,113.56
  6. Step 6: Final answer
    x = 44,980.78

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1.5x scale

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.