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Finding the Fourth Proportional to 203,454.81, 305,119.86 and 140,678.34

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Solution

The fourth proportional to 203,454.81, 305,119.86 and 140,678.34 is: 210,974.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,454.81 : 305,119.86 = 140,678.34 : x
  2. Step 2: Convert to fraction form
    203,454.81/305,119.86 = 140,678.34/x
  3. Step 3: Cross multiply
    203,454.81x = 305,119.86 × 140,678.34
  4. Step 4: Simplify right side
    203,454.81x = 42,923,755,405.83
  5. Step 5: Solve for x
    x = 42,923,755,405.83/203,454.81
  6. Step 6: Final answer
    x = 210,974.39

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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.