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Finding the Fourth Proportional to 203,898.53, 281,321.70 and 123,267.53

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Solution

The fourth proportional to 203,898.53, 281,321.70 and 123,267.53 is: 170,073.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,898.53 : 281,321.70 = 123,267.53 : x
  2. Step 2: Convert to fraction form
    203,898.53/281,321.70 = 123,267.53/x
  3. Step 3: Cross multiply
    203,898.53x = 281,321.70 × 123,267.53
  4. Step 4: Simplify right side
    203,898.53x = 34,677,831,094.40
  5. Step 5: Solve for x
    x = 34,677,831,094.40/203,898.53
  6. Step 6: Final answer
    x = 170,073.96

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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.