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Finding the Fourth Proportional to 193,710.72, 290,585 and 75,391.68

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Solution

The fourth proportional to 193,710.72, 290,585 and 75,391.68 is: 113,094.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,710.72 : 290,585 = 75,391.68 : x
  2. Step 2: Convert to fraction form
    193,710.72/290,585 = 75,391.68/x
  3. Step 3: Cross multiply
    193,710.72x = 290,585 × 75,391.68
  4. Step 4: Simplify right side
    193,710.72x = 21,907,691,332.80
  5. Step 5: Solve for x
    x = 21,907,691,332.80/193,710.72
  6. Step 6: Final answer
    x = 113,094.88

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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.