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Finding the Fourth Proportional to 136,020.64, 203,858.08 and 76,889.44

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Solution

The fourth proportional to 136,020.64, 203,858.08 and 76,889.44 is: 115,236.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,020.64 : 203,858.08 = 76,889.44 : x
  2. Step 2: Convert to fraction form
    136,020.64/203,858.08 = 76,889.44/x
  3. Step 3: Cross multiply
    136,020.64x = 203,858.08 × 76,889.44
  4. Step 4: Simplify right side
    136,020.64x = 15,674,533,610.68
  5. Step 5: Solve for x
    x = 15,674,533,610.68/136,020.64
  6. Step 6: Final answer
    x = 115,236.43

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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.