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Finding the Fourth Proportional to 203,840.80, 281,254.92 and 123,266.64

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Solution

The fourth proportional to 203,840.80, 281,254.92 and 123,266.64 is: 170,080.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,840.80 : 281,254.92 = 123,266.64 : x
  2. Step 2: Convert to fraction form
    203,840.80/281,254.92 = 123,266.64/x
  3. Step 3: Cross multiply
    203,840.80x = 281,254.92 × 123,266.64
  4. Step 4: Simplify right side
    203,840.80x = 34,669,348,971.87
  5. Step 5: Solve for x
    x = 34,669,348,971.87/203,840.80
  6. Step 6: Final answer
    x = 170,080.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.