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Finding the Fourth Proportional to 264,194.49, 396,208.77 and 86,659.92

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Solution

The fourth proportional to 264,194.49, 396,208.77 and 86,659.92 is: 129,962.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,194.49 : 396,208.77 = 86,659.92 : x
  2. Step 2: Convert to fraction form
    264,194.49/396,208.77 = 86,659.92/x
  3. Step 3: Cross multiply
    264,194.49x = 396,208.77 × 86,659.92
  4. Step 4: Simplify right side
    264,194.49x = 34,335,420,311.50
  5. Step 5: Solve for x
    x = 34,335,420,311.50/264,194.49
  6. Step 6: Final answer
    x = 129,962.67

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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.