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Finding the Fourth Proportional to 203,532.20, 305,211.90 and 98,383.40

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Solution

The fourth proportional to 203,532.20, 305,211.90 and 98,383.40 is: 147,533.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,532.20 : 305,211.90 = 98,383.40 : x
  2. Step 2: Convert to fraction form
    203,532.20/305,211.90 = 98,383.40/x
  3. Step 3: Cross multiply
    203,532.20x = 305,211.90 × 98,383.40
  4. Step 4: Simplify right side
    203,532.20x = 30,027,784,442.46
  5. Step 5: Solve for x
    x = 30,027,784,442.46/203,532.20
  6. Step 6: Final answer
    x = 147,533.34

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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.