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Finding the Fourth Proportional to 199,962, 275,947.49 and 109,318.34

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Solution

The fourth proportional to 199,962, 275,947.49 and 109,318.34 is: 150,859.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,962 : 275,947.49 = 109,318.34 : x
  2. Step 2: Convert to fraction form
    199,962/275,947.49 = 109,318.34/x
  3. Step 3: Cross multiply
    199,962x = 275,947.49 × 109,318.34
  4. Step 4: Simplify right side
    199,962x = 30,166,122,497.13
  5. Step 5: Solve for x
    x = 30,166,122,497.13/199,962
  6. Step 6: Final answer
    x = 150,859.28

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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.