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Finding the Fourth Proportional to 195,571.56, 269,889 and 106,147.56

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Solution

The fourth proportional to 195,571.56, 269,889 and 106,147.56 is: 146,483.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,571.56 : 269,889 = 106,147.56 : x
  2. Step 2: Convert to fraction form
    195,571.56/269,889 = 106,147.56/x
  3. Step 3: Cross multiply
    195,571.56x = 269,889 × 106,147.56
  4. Step 4: Simplify right side
    195,571.56x = 28,648,058,820.84
  5. Step 5: Solve for x
    x = 28,648,058,820.84/195,571.56
  6. Step 6: Final answer
    x = 146,483.77

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1.5x scale

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.