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Finding the Fourth Proportional to 202,993.47, 280,157.16 and 122,464.49

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Solution

The fourth proportional to 202,993.47, 280,157.16 and 122,464.49 is: 169,016.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,993.47 : 280,157.16 = 122,464.49 : x
  2. Step 2: Convert to fraction form
    202,993.47/280,157.16 = 122,464.49/x
  3. Step 3: Cross multiply
    202,993.47x = 280,157.16 × 122,464.49
  4. Step 4: Simplify right side
    202,993.47x = 34,309,302,318.46
  5. Step 5: Solve for x
    x = 34,309,302,318.46/202,993.47
  6. Step 6: Final answer
    x = 169,016.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.