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Finding the Fourth Proportional to 263,200, 394,841.04 and 85,665.10

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Solution

The fourth proportional to 263,200, 394,841.04 and 85,665.10 is: 128,511.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,200 : 394,841.04 = 85,665.10 : x
  2. Step 2: Convert to fraction form
    263,200/394,841.04 = 85,665.10/x
  3. Step 3: Cross multiply
    263,200x = 394,841.04 × 85,665.10
  4. Step 4: Simplify right side
    263,200x = 33,824,097,175.70
  5. Step 5: Solve for x
    x = 33,824,097,175.70/263,200
  6. Step 6: Final answer
    x = 128,511.01

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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.