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Finding the Fourth Proportional to 203,422.80, 305,243.55 and 85,106.10

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Solution

The fourth proportional to 203,422.80, 305,243.55 and 85,106.10 is: 127,704.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,422.80 : 305,243.55 = 85,106.10 : x
  2. Step 2: Convert to fraction form
    203,422.80/305,243.55 = 85,106.10/x
  3. Step 3: Cross multiply
    203,422.80x = 305,243.55 × 85,106.10
  4. Step 4: Simplify right side
    203,422.80x = 25,978,088,090.66
  5. Step 5: Solve for x
    x = 25,978,088,090.66/203,422.80
  6. Step 6: Final answer
    x = 127,704.90

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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.