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Finding the Fourth Proportional to 105,661.20, 158,200.20 and 82,333.20

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Solution

The fourth proportional to 105,661.20, 158,200.20 and 82,333.20 is: 123,272.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,661.20 : 158,200.20 = 82,333.20 : x
  2. Step 2: Convert to fraction form
    105,661.20/158,200.20 = 82,333.20/x
  3. Step 3: Cross multiply
    105,661.20x = 158,200.20 × 82,333.20
  4. Step 4: Simplify right side
    105,661.20x = 13,025,128,706.64
  5. Step 5: Solve for x
    x = 13,025,128,706.64/105,661.20
  6. Step 6: Final answer
    x = 123,272.58

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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.