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Finding the Fourth Proportional to 203,401.80, 305,102.70 and 70,270.20

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Solution

The fourth proportional to 203,401.80, 305,102.70 and 70,270.20 is: 105,405.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,401.80 : 305,102.70 = 70,270.20 : x
  2. Step 2: Convert to fraction form
    203,401.80/305,102.70 = 70,270.20/x
  3. Step 3: Cross multiply
    203,401.80x = 305,102.70 × 70,270.20
  4. Step 4: Simplify right side
    203,401.80x = 21,439,627,749.54
  5. Step 5: Solve for x
    x = 21,439,627,749.54/203,401.80
  6. Step 6: Final answer
    x = 105,405.30

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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.