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Finding the Fourth Proportional to 203,401.40, 305,150.70 and 98,133.80

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Solution

The fourth proportional to 203,401.40, 305,150.70 and 98,133.80 is: 147,224.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,401.40 : 305,150.70 = 98,133.80 : x
  2. Step 2: Convert to fraction form
    203,401.40/305,150.70 = 98,133.80/x
  3. Step 3: Cross multiply
    203,401.40x = 305,150.70 × 98,133.80
  4. Step 4: Simplify right side
    203,401.40x = 29,945,597,763.66
  5. Step 5: Solve for x
    x = 29,945,597,763.66/203,401.40
  6. Step 6: Final answer
    x = 147,224.15

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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.