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Finding the Fourth Proportional to 202,309.40, 303,464.10 and 69,157.55

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Solution

The fourth proportional to 202,309.40, 303,464.10 and 69,157.55 is: 103,736.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,309.40 : 303,464.10 = 69,157.55 : x
  2. Step 2: Convert to fraction form
    202,309.40/303,464.10 = 69,157.55/x
  3. Step 3: Cross multiply
    202,309.40x = 303,464.10 × 69,157.55
  4. Step 4: Simplify right side
    202,309.40x = 20,986,833,668.96
  5. Step 5: Solve for x
    x = 20,986,833,668.96/202,309.40
  6. Step 6: Final answer
    x = 103,736.33

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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.