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Finding the Fourth Proportional to 263,564.39, 395,370.87 and 86,072.33

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Solution

The fourth proportional to 263,564.39, 395,370.87 and 86,072.33 is: 129,116.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,564.39 : 395,370.87 = 86,072.33 : x
  2. Step 2: Convert to fraction form
    263,564.39/395,370.87 = 86,072.33/x
  3. Step 3: Cross multiply
    263,564.39x = 395,370.87 × 86,072.33
  4. Step 4: Simplify right side
    263,564.39x = 34,030,490,018.17
  5. Step 5: Solve for x
    x = 34,030,490,018.17/263,564.39
  6. Step 6: Final answer
    x = 129,116.42

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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.