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Finding the Fourth Proportional to 190,615.33, 285,825.33 and 100,706.30

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Solution

The fourth proportional to 190,615.33, 285,825.33 and 100,706.30 is: 151,007.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,615.33 : 285,825.33 = 100,706.30 : x
  2. Step 2: Convert to fraction form
    190,615.33/285,825.33 = 100,706.30/x
  3. Step 3: Cross multiply
    190,615.33x = 285,825.33 × 100,706.30
  4. Step 4: Simplify right side
    190,615.33x = 28,784,410,552.65
  5. Step 5: Solve for x
    x = 28,784,410,552.65/190,615.33
  6. Step 6: Final answer
    x = 151,007.85

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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.