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Finding the Fourth Proportional to 203,423.80, 305,245.05 and 85,107.10

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Solution

The fourth proportional to 203,423.80, 305,245.05 and 85,107.10 is: 127,706.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,423.80 : 305,245.05 = 85,107.10 : x
  2. Step 2: Convert to fraction form
    203,423.80/305,245.05 = 85,107.10/x
  3. Step 3: Cross multiply
    203,423.80x = 305,245.05 × 85,107.10
  4. Step 4: Simplify right side
    203,423.80x = 25,978,520,994.86
  5. Step 5: Solve for x
    x = 25,978,520,994.86/203,423.80
  6. Step 6: Final answer
    x = 127,706.40

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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.