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Finding the Fourth Proportional to 100,401.30, 150,623.55 and 30,287.70

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Solution

The fourth proportional to 100,401.30, 150,623.55 and 30,287.70 is: 45,438.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,401.30 : 150,623.55 = 30,287.70 : x
  2. Step 2: Convert to fraction form
    100,401.30/150,623.55 = 30,287.70/x
  3. Step 3: Cross multiply
    100,401.30x = 150,623.55 × 30,287.70
  4. Step 4: Simplify right side
    100,401.30x = 4,562,040,895.34
  5. Step 5: Solve for x
    x = 4,562,040,895.34/100,401.30
  6. Step 6: Final answer
    x = 45,438.07

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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.