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Finding the Fourth Proportional to 193,584, 290,486.40 and 75,239.92

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Solution

The fourth proportional to 193,584, 290,486.40 and 75,239.92 is: 112,902.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,584 : 290,486.40 = 75,239.92 : x
  2. Step 2: Convert to fraction form
    193,584/290,486.40 = 75,239.92/x
  3. Step 3: Cross multiply
    193,584x = 290,486.40 × 75,239.92
  4. Step 4: Simplify right side
    193,584x = 21,856,173,497.09
  5. Step 5: Solve for x
    x = 21,856,173,497.09/193,584
  6. Step 6: Final answer
    x = 112,902.79

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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.