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Finding the Fourth Proportional to 193,435.25, 290,103.66 and 75,042

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Solution

The fourth proportional to 193,435.25, 290,103.66 and 75,042 is: 112,543.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,435.25 : 290,103.66 = 75,042 : x
  2. Step 2: Convert to fraction form
    193,435.25/290,103.66 = 75,042/x
  3. Step 3: Cross multiply
    193,435.25x = 290,103.66 × 75,042
  4. Step 4: Simplify right side
    193,435.25x = 21,769,958,853.72
  5. Step 5: Solve for x
    x = 21,769,958,853.72/193,435.25
  6. Step 6: Final answer
    x = 112,543.91

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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.