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Finding the Fourth Proportional to 381,106.62, 571,616.19 and 100,645.74

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Solution

The fourth proportional to 381,106.62, 571,616.19 and 100,645.74 is: 150,957.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,106.62 : 571,616.19 = 100,645.74 : x
  2. Step 2: Convert to fraction form
    381,106.62/571,616.19 = 100,645.74/x
  3. Step 3: Cross multiply
    381,106.62x = 571,616.19 × 100,645.74
  4. Step 4: Simplify right side
    381,106.62x = 57,530,734,438.53
  5. Step 5: Solve for x
    x = 57,530,734,438.53/381,106.62
  6. Step 6: Final answer
    x = 150,957.06

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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.