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Finding the Fourth Proportional to 203,908.80, 305,863.20 and 70,744.80

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Solution

The fourth proportional to 203,908.80, 305,863.20 and 70,744.80 is: 106,117.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,908.80 : 305,863.20 = 70,744.80 : x
  2. Step 2: Convert to fraction form
    203,908.80/305,863.20 = 70,744.80/x
  3. Step 3: Cross multiply
    203,908.80x = 305,863.20 × 70,744.80
  4. Step 4: Simplify right side
    203,908.80x = 21,638,230,911.36
  5. Step 5: Solve for x
    x = 21,638,230,911.36/203,908.80
  6. Step 6: Final answer
    x = 106,117.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.