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Finding the Fourth Proportional to 100,639.41, 150,980.90 and 30,524.01

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Solution

The fourth proportional to 100,639.41, 150,980.90 and 30,524.01 is: 45,792.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,639.41 : 150,980.90 = 30,524.01 : x
  2. Step 2: Convert to fraction form
    100,639.41/150,980.90 = 30,524.01/x
  3. Step 3: Cross multiply
    100,639.41x = 150,980.90 × 30,524.01
  4. Step 4: Simplify right side
    100,639.41x = 4,608,542,501.41
  5. Step 5: Solve for x
    x = 4,608,542,501.41/100,639.41
  6. Step 6: Final answer
    x = 45,792.62

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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.