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Finding the Fourth Proportional to 193,466.56, 290,141.52 and 68,800

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Solution

The fourth proportional to 193,466.56, 290,141.52 and 68,800 is: 103,179.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,466.56 : 290,141.52 = 68,800 : x
  2. Step 2: Convert to fraction form
    193,466.56/290,141.52 = 68,800/x
  3. Step 3: Cross multiply
    193,466.56x = 290,141.52 × 68,800
  4. Step 4: Simplify right side
    193,466.56x = 19,961,736,576
  5. Step 5: Solve for x
    x = 19,961,736,576/193,466.56
  6. Step 6: Final answer
    x = 103,179.26

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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.