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Finding the Fourth Proportional to 213,604, 320,427.93 and 80,596.19

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Solution

The fourth proportional to 213,604, 320,427.93 and 80,596.19 is: 120,902.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,604 : 320,427.93 = 80,596.19 : x
  2. Step 2: Convert to fraction form
    213,604/320,427.93 = 80,596.19/x
  3. Step 3: Cross multiply
    213,604x = 320,427.93 × 80,596.19
  4. Step 4: Simplify right side
    213,604x = 25,825,270,327.59
  5. Step 5: Solve for x
    x = 25,825,270,327.59/213,604
  6. Step 6: Final answer
    x = 120,902.56

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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.