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Finding the Fourth Proportional to 213,992.28, 320,813.28 and 80,796.96

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Solution

The fourth proportional to 213,992.28, 320,813.28 and 80,796.96 is: 121,129.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,992.28 : 320,813.28 = 80,796.96 : x
  2. Step 2: Convert to fraction form
    213,992.28/320,813.28 = 80,796.96/x
  3. Step 3: Cross multiply
    213,992.28x = 320,813.28 × 80,796.96
  4. Step 4: Simplify right side
    213,992.28x = 25,920,737,751.63
  5. Step 5: Solve for x
    x = 25,920,737,751.63/213,992.28
  6. Step 6: Final answer
    x = 121,129.31

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1.5x scale

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.