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Finding the Fourth Proportional to 203,918.76, 281,409.78 and 119,019.24

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Solution

The fourth proportional to 203,918.76, 281,409.78 and 119,019.24 is: 164,247.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,918.76 : 281,409.78 = 119,019.24 : x
  2. Step 2: Convert to fraction form
    203,918.76/281,409.78 = 119,019.24/x
  3. Step 3: Cross multiply
    203,918.76x = 281,409.78 × 119,019.24
  4. Step 4: Simplify right side
    203,918.76x = 33,493,178,144.17
  5. Step 5: Solve for x
    x = 33,493,178,144.17/203,918.76
  6. Step 6: Final answer
    x = 164,247.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.