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Finding the Fourth Proportional to 264,210.75, 396,232.87 and 86,676.39

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Solution

The fourth proportional to 264,210.75, 396,232.87 and 86,676.39 is: 129,987.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,210.75 : 396,232.87 = 86,676.39 : x
  2. Step 2: Convert to fraction form
    264,210.75/396,232.87 = 86,676.39/x
  3. Step 3: Cross multiply
    264,210.75x = 396,232.87 × 86,676.39
  4. Step 4: Simplify right side
    264,210.75x = 34,344,034,770.94
  5. Step 5: Solve for x
    x = 34,344,034,770.94/264,210.75
  6. Step 6: Final answer
    x = 129,987.27

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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.