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Finding the Fourth Proportional to 203,232.36, 280,452.70 and 111,350

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Solution

The fourth proportional to 203,232.36, 280,452.70 and 111,350 is: 153,658.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,232.36 : 280,452.70 = 111,350 : x
  2. Step 2: Convert to fraction form
    203,232.36/280,452.70 = 111,350/x
  3. Step 3: Cross multiply
    203,232.36x = 280,452.70 × 111,350
  4. Step 4: Simplify right side
    203,232.36x = 31,228,408,145
  5. Step 5: Solve for x
    x = 31,228,408,145/203,232.36
  6. Step 6: Final answer
    x = 153,658.64

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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.