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Finding the Fourth Proportional to 203,438.60, 305,244.30 and 98,203.40

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Solution

The fourth proportional to 203,438.60, 305,244.30 and 98,203.40 is: 147,346.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,438.60 : 305,244.30 = 98,203.40 : x
  2. Step 2: Convert to fraction form
    203,438.60/305,244.30 = 98,203.40/x
  3. Step 3: Cross multiply
    203,438.60x = 305,244.30 × 98,203.40
  4. Step 4: Simplify right side
    203,438.60x = 29,976,028,090.62
  5. Step 5: Solve for x
    x = 29,976,028,090.62/203,438.60
  6. Step 6: Final answer
    x = 147,346.81

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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.