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Finding the Fourth Proportional to 281,806.22, 388,884.54 and 160,945.01

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Solution

The fourth proportional to 281,806.22, 388,884.54 and 160,945.01 is: 222,099.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,806.22 : 388,884.54 = 160,945.01 : x
  2. Step 2: Convert to fraction form
    281,806.22/388,884.54 = 160,945.01/x
  3. Step 3: Cross multiply
    281,806.22x = 388,884.54 × 160,945.01
  4. Step 4: Simplify right side
    281,806.22x = 62,589,026,296.58
  5. Step 5: Solve for x
    x = 62,589,026,296.58/281,806.22
  6. Step 6: Final answer
    x = 222,099.52

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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.