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Finding the Fourth Proportional to 213,419.56, 320,177.96 and 73,169.68

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Solution

The fourth proportional to 213,419.56, 320,177.96 and 73,169.68 is: 109,771.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,419.56 : 320,177.96 = 73,169.68 : x
  2. Step 2: Convert to fraction form
    213,419.56/320,177.96 = 73,169.68/x
  3. Step 3: Cross multiply
    213,419.56x = 320,177.96 × 73,169.68
  4. Step 4: Simplify right side
    213,419.56x = 23,427,318,876.25
  5. Step 5: Solve for x
    x = 23,427,318,876.25/213,419.56
  6. Step 6: Final answer
    x = 109,771.19

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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.