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Finding the Fourth Proportional to 203,642.22, 281,016.54 and 112,997.10

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Solution

The fourth proportional to 203,642.22, 281,016.54 and 112,997.10 is: 155,930.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,642.22 : 281,016.54 = 112,997.10 : x
  2. Step 2: Convert to fraction form
    203,642.22/281,016.54 = 112,997.10/x
  3. Step 3: Cross multiply
    203,642.22x = 281,016.54 × 112,997.10
  4. Step 4: Simplify right side
    203,642.22x = 31,754,054,072.03
  5. Step 5: Solve for x
    x = 31,754,054,072.03/203,642.22
  6. Step 6: Final answer
    x = 155,930.60

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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.