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Finding the Fourth Proportional to 203,412.80, 305,119.20 and 137,057.60

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Solution

The fourth proportional to 203,412.80, 305,119.20 and 137,057.60 is: 205,586.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,412.80 : 305,119.20 = 137,057.60 : x
  2. Step 2: Convert to fraction form
    203,412.80/305,119.20 = 137,057.60/x
  3. Step 3: Cross multiply
    203,412.80x = 305,119.20 × 137,057.60
  4. Step 4: Simplify right side
    203,412.80x = 41,818,905,265.92
  5. Step 5: Solve for x
    x = 41,818,905,265.92/203,412.80
  6. Step 6: Final answer
    x = 205,586.40

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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.