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Finding the Fourth Proportional to 203,455.81, 305,121.36 and 140,679.34

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Solution

The fourth proportional to 203,455.81, 305,121.36 and 140,679.34 is: 210,975.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,455.81 : 305,121.36 = 140,679.34 : x
  2. Step 2: Convert to fraction form
    203,455.81/305,121.36 = 140,679.34/x
  3. Step 3: Cross multiply
    203,455.81x = 305,121.36 × 140,679.34
  4. Step 4: Simplify right side
    203,455.81x = 42,924,271,544.70
  5. Step 5: Solve for x
    x = 42,924,271,544.70/203,455.81
  6. Step 6: Final answer
    x = 210,975.89

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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.