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Finding the Fourth Proportional to 381,102.57, 571,653.81 and 100,622.25

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Solution

The fourth proportional to 381,102.57, 571,653.81 and 100,622.25 is: 150,933.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,102.57 : 571,653.81 = 100,622.25 : x
  2. Step 2: Convert to fraction form
    381,102.57/571,653.81 = 100,622.25/x
  3. Step 3: Cross multiply
    381,102.57x = 571,653.81 × 100,622.25
  4. Step 4: Simplify right side
    381,102.57x = 57,521,092,583.27
  5. Step 5: Solve for x
    x = 57,521,092,583.27/381,102.57
  6. Step 6: Final answer
    x = 150,933.36

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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.