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Finding the Fourth Proportional to 100,589.34, 150,905.88 and 30,474.12

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Solution

The fourth proportional to 100,589.34, 150,905.88 and 30,474.12 is: 45,717.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,589.34 : 150,905.88 = 30,474.12 : x
  2. Step 2: Convert to fraction form
    100,589.34/150,905.88 = 30,474.12/x
  3. Step 3: Cross multiply
    100,589.34x = 150,905.88 × 30,474.12
  4. Step 4: Simplify right side
    100,589.34x = 4,598,723,895.83
  5. Step 5: Solve for x
    x = 4,598,723,895.83/100,589.34
  6. Step 6: Final answer
    x = 45,717.81

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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.