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Finding the Fourth Proportional to 203,970.30, 281,439.27 and 119,090.94

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Solution

The fourth proportional to 203,970.30, 281,439.27 and 119,090.94 is: 164,322.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,970.30 : 281,439.27 = 119,090.94 : x
  2. Step 2: Convert to fraction form
    203,970.30/281,439.27 = 119,090.94/x
  3. Step 3: Cross multiply
    203,970.30x = 281,439.27 × 119,090.94
  4. Step 4: Simplify right side
    203,970.30x = 33,516,867,217.21
  5. Step 5: Solve for x
    x = 33,516,867,217.21/203,970.30
  6. Step 6: Final answer
    x = 164,322.29

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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.