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Finding the Fourth Proportional to 252,062.36, 378,268.16 and 100,243.88

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Solution

The fourth proportional to 252,062.36, 378,268.16 and 100,243.88 is: 150,435.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,062.36 : 378,268.16 = 100,243.88 : x
  2. Step 2: Convert to fraction form
    252,062.36/378,268.16 = 100,243.88/x
  3. Step 3: Cross multiply
    252,062.36x = 378,268.16 × 100,243.88
  4. Step 4: Simplify right side
    252,062.36x = 37,919,068,038.86
  5. Step 5: Solve for x
    x = 37,919,068,038.86/252,062.36
  6. Step 6: Final answer
    x = 150,435.27

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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.