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Finding the Fourth Proportional to 213,163.70, 320,307.15 and 118,469.30

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Solution

The fourth proportional to 213,163.70, 320,307.15 and 118,469.30 is: 178,016.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,163.70 : 320,307.15 = 118,469.30 : x
  2. Step 2: Convert to fraction form
    213,163.70/320,307.15 = 118,469.30/x
  3. Step 3: Cross multiply
    213,163.70x = 320,307.15 × 118,469.30
  4. Step 4: Simplify right side
    213,163.70x = 37,946,563,845.50
  5. Step 5: Solve for x
    x = 37,946,563,845.50/213,163.70
  6. Step 6: Final answer
    x = 178,016.07

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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.