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Finding the Fourth Proportional to 213,597.88, 320,396.84 and 80,508

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Solution

The fourth proportional to 213,597.88, 320,396.84 and 80,508 is: 120,762.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,597.88 : 320,396.84 = 80,508 : x
  2. Step 2: Convert to fraction form
    213,597.88/320,396.84 = 80,508/x
  3. Step 3: Cross multiply
    213,597.88x = 320,396.84 × 80,508
  4. Step 4: Simplify right side
    213,597.88x = 25,794,508,794.72
  5. Step 5: Solve for x
    x = 25,794,508,794.72/213,597.88
  6. Step 6: Final answer
    x = 120,762.01

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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.