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Finding the Fourth Proportional to 213,596.88, 320,395.32 and 80,507.01

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Solution

The fourth proportional to 213,596.88, 320,395.32 and 80,507.01 is: 120,760.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,596.88 : 320,395.32 = 80,507.01 : x
  2. Step 2: Convert to fraction form
    213,596.88/320,395.32 = 80,507.01/x
  3. Step 3: Cross multiply
    213,596.88x = 320,395.32 × 80,507.01
  4. Step 4: Simplify right side
    213,596.88x = 25,794,069,231.19
  5. Step 5: Solve for x
    x = 25,794,069,231.19/213,596.88
  6. Step 6: Final answer
    x = 120,760.52

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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.