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Finding the Fourth Proportional to 195,034.78, 269,147.94 and 105,610.78

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Solution

The fourth proportional to 195,034.78, 269,147.94 and 105,610.78 is: 145,742.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,034.78 : 269,147.94 = 105,610.78 : x
  2. Step 2: Convert to fraction form
    195,034.78/269,147.94 = 105,610.78/x
  3. Step 3: Cross multiply
    195,034.78x = 269,147.94 × 105,610.78
  4. Step 4: Simplify right side
    195,034.78x = 28,424,923,878.79
  5. Step 5: Solve for x
    x = 28,424,923,878.79/195,034.78
  6. Step 6: Final answer
    x = 145,742.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.