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Finding the Fourth Proportional to 203,268.51, 305,089.92 and 103,500

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Solution

The fourth proportional to 203,268.51, 305,089.92 and 103,500 is: 155,345.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,268.51 : 305,089.92 = 103,500 : x
  2. Step 2: Convert to fraction form
    203,268.51/305,089.92 = 103,500/x
  3. Step 3: Cross multiply
    203,268.51x = 305,089.92 × 103,500
  4. Step 4: Simplify right side
    203,268.51x = 31,576,806,720
  5. Step 5: Solve for x
    x = 31,576,806,720/203,268.51
  6. Step 6: Final answer
    x = 155,345.30

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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.