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Finding the Fourth Proportional to 213,903.60, 320,928.32 and 64,147.56

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Solution

The fourth proportional to 213,903.60, 320,928.32 and 64,147.56 is: 96,243.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,903.60 : 320,928.32 = 64,147.56 : x
  2. Step 2: Convert to fraction form
    213,903.60/320,928.32 = 64,147.56/x
  3. Step 3: Cross multiply
    213,903.60x = 320,928.32 × 64,147.56
  4. Step 4: Simplify right side
    213,903.60x = 20,586,768,662.90
  5. Step 5: Solve for x
    x = 20,586,768,662.90/213,903.60
  6. Step 6: Final answer
    x = 96,243.21

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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.