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Finding the Fourth Proportional to 381,196.94, 571,815.93 and 100,706.54

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Solution

The fourth proportional to 381,196.94, 571,815.93 and 100,706.54 is: 151,065.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,196.94 : 571,815.93 = 100,706.54 : x
  2. Step 2: Convert to fraction form
    381,196.94/571,815.93 = 100,706.54/x
  3. Step 3: Cross multiply
    381,196.94x = 571,815.93 × 100,706.54
  4. Step 4: Simplify right side
    381,196.94x = 57,585,603,827.18
  5. Step 5: Solve for x
    x = 57,585,603,827.18/381,196.94
  6. Step 6: Final answer
    x = 151,065.23

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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.