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Finding the Fourth Proportional to 101,993.28, 152,662.32 and 54,489.60

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Solution

The fourth proportional to 101,993.28, 152,662.32 and 54,489.60 is: 81,559.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,993.28 : 152,662.32 = 54,489.60 : x
  2. Step 2: Convert to fraction form
    101,993.28/152,662.32 = 54,489.60/x
  3. Step 3: Cross multiply
    101,993.28x = 152,662.32 × 54,489.60
  4. Step 4: Simplify right side
    101,993.28x = 8,318,508,751.87
  5. Step 5: Solve for x
    x = 8,318,508,751.87/101,993.28
  6. Step 6: Final answer
    x = 81,559.38

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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.