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Finding the Fourth Proportional to 203,401.80, 305,102.70 and 140,416.20

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Solution

The fourth proportional to 203,401.80, 305,102.70 and 140,416.20 is: 210,624.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,401.80 : 305,102.70 = 140,416.20 : x
  2. Step 2: Convert to fraction form
    203,401.80/305,102.70 = 140,416.20/x
  3. Step 3: Cross multiply
    203,401.80x = 305,102.70 × 140,416.20
  4. Step 4: Simplify right side
    203,401.80x = 42,841,361,743.74
  5. Step 5: Solve for x
    x = 42,841,361,743.74/203,401.80
  6. Step 6: Final answer
    x = 210,624.30

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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.