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Finding the Fourth Proportional to 213,563.60, 320,072.76 and 101,243.60

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Solution

The fourth proportional to 213,563.60, 320,072.76 and 101,243.60 is: 151,736.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,563.60 : 320,072.76 = 101,243.60 : x
  2. Step 2: Convert to fraction form
    213,563.60/320,072.76 = 101,243.60/x
  3. Step 3: Cross multiply
    213,563.60x = 320,072.76 × 101,243.60
  4. Step 4: Simplify right side
    213,563.60x = 32,405,318,484.34
  5. Step 5: Solve for x
    x = 32,405,318,484.34/213,563.60
  6. Step 6: Final answer
    x = 151,736.15

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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.