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Finding the Fourth Proportional to 203,053.80, 304,629.30 and 103,229.40

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Solution

The fourth proportional to 203,053.80, 304,629.30 and 103,229.40 is: 154,868.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,053.80 : 304,629.30 = 103,229.40 : x
  2. Step 2: Convert to fraction form
    203,053.80/304,629.30 = 103,229.40/x
  3. Step 3: Cross multiply
    203,053.80x = 304,629.30 × 103,229.40
  4. Step 4: Simplify right side
    203,053.80x = 31,446,699,861.42
  5. Step 5: Solve for x
    x = 31,446,699,861.42/203,053.80
  6. Step 6: Final answer
    x = 154,868.81

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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.