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Finding the Fourth Proportional to 263,495.21, 395,305.79 and 86,002.54

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Solution

The fourth proportional to 263,495.21, 395,305.79 and 86,002.54 is: 129,024.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,495.21 : 395,305.79 = 86,002.54 : x
  2. Step 2: Convert to fraction form
    263,495.21/395,305.79 = 86,002.54/x
  3. Step 3: Cross multiply
    263,495.21x = 395,305.79 × 86,002.54
  4. Step 4: Simplify right side
    263,495.21x = 33,997,302,016.71
  5. Step 5: Solve for x
    x = 33,997,302,016.71/263,495.21
  6. Step 6: Final answer
    x = 129,024.36

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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.