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Finding the Fourth Proportional to 195,170, 269,334.78 and 105,746

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Solution

The fourth proportional to 195,170, 269,334.78 and 105,746 is: 145,929.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,170 : 269,334.78 = 105,746 : x
  2. Step 2: Convert to fraction form
    195,170/269,334.78 = 105,746/x
  3. Step 3: Cross multiply
    195,170x = 269,334.78 × 105,746
  4. Step 4: Simplify right side
    195,170x = 28,481,075,645.88
  5. Step 5: Solve for x
    x = 28,481,075,645.88/195,170
  6. Step 6: Final answer
    x = 145,929.58

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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.