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Finding the Fourth Proportional to 203,087.51, 280,263.73 and 116,999

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Solution

The fourth proportional to 203,087.51, 280,263.73 and 116,999 is: 161,460.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,087.51 : 280,263.73 = 116,999 : x
  2. Step 2: Convert to fraction form
    203,087.51/280,263.73 = 116,999/x
  3. Step 3: Cross multiply
    203,087.51x = 280,263.73 × 116,999
  4. Step 4: Simplify right side
    203,087.51x = 32,790,576,146.27
  5. Step 5: Solve for x
    x = 32,790,576,146.27/203,087.51
  6. Step 6: Final answer
    x = 161,460.33

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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.