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Finding the Fourth Proportional to 195,046, 269,163.48 and 105,622

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Solution

The fourth proportional to 195,046, 269,163.48 and 105,622 is: 145,758.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,046 : 269,163.48 = 105,622 : x
  2. Step 2: Convert to fraction form
    195,046/269,163.48 = 105,622/x
  3. Step 3: Cross multiply
    195,046x = 269,163.48 × 105,622
  4. Step 4: Simplify right side
    195,046x = 28,429,585,084.56
  5. Step 5: Solve for x
    x = 28,429,585,084.56/195,046
  6. Step 6: Final answer
    x = 145,758.36

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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.