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Finding the Fourth Proportional to 213,399.06, 320,133.15 and 65,620.50

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Solution

The fourth proportional to 213,399.06, 320,133.15 and 65,620.50 is: 98,441.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,399.06 : 320,133.15 = 65,620.50 : x
  2. Step 2: Convert to fraction form
    213,399.06/320,133.15 = 65,620.50/x
  3. Step 3: Cross multiply
    213,399.06x = 320,133.15 × 65,620.50
  4. Step 4: Simplify right side
    213,399.06x = 21,007,297,369.58
  5. Step 5: Solve for x
    x = 21,007,297,369.58/213,399.06
  6. Step 6: Final answer
    x = 98,441.38

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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.