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Finding the Fourth Proportional to 203,230.14, 280,452.39 and 111,348.78

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Solution

The fourth proportional to 203,230.14, 280,452.39 and 111,348.78 is: 153,658.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,230.14 : 280,452.39 = 111,348.78 : x
  2. Step 2: Convert to fraction form
    203,230.14/280,452.39 = 111,348.78/x
  3. Step 3: Cross multiply
    203,230.14x = 280,452.39 × 111,348.78
  4. Step 4: Simplify right side
    203,230.14x = 31,228,031,474.58
  5. Step 5: Solve for x
    x = 31,228,031,474.58/203,230.14
  6. Step 6: Final answer
    x = 153,658.47

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1.5x scale

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.