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Finding the Fourth Proportional to 193,923, 290,812.50 and 67,530.80

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Solution

The fourth proportional to 193,923, 290,812.50 and 67,530.80 is: 101,271.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,923 : 290,812.50 = 67,530.80 : x
  2. Step 2: Convert to fraction form
    193,923/290,812.50 = 67,530.80/x
  3. Step 3: Cross multiply
    193,923x = 290,812.50 × 67,530.80
  4. Step 4: Simplify right side
    193,923x = 19,638,800,775
  5. Step 5: Solve for x
    x = 19,638,800,775/193,923
  6. Step 6: Final answer
    x = 101,271.13

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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.