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Finding the Fourth Proportional to 138,383.21, 206,816.61 and 101,021.96

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Solution

The fourth proportional to 138,383.21, 206,816.61 and 101,021.96 is: 150,979.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,383.21 : 206,816.61 = 101,021.96 : x
  2. Step 2: Convert to fraction form
    138,383.21/206,816.61 = 101,021.96/x
  3. Step 3: Cross multiply
    138,383.21x = 206,816.61 × 101,021.96
  4. Step 4: Simplify right side
    138,383.21x = 20,893,018,268.67
  5. Step 5: Solve for x
    x = 20,893,018,268.67/138,383.21
  6. Step 6: Final answer
    x = 150,979.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.