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Finding the Fourth Proportional to 241,231.52, 361,778.16 and 81,290

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Solution

The fourth proportional to 241,231.52, 361,778.16 and 81,290 is: 121,911.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,231.52 : 361,778.16 = 81,290 : x
  2. Step 2: Convert to fraction form
    241,231.52/361,778.16 = 81,290/x
  3. Step 3: Cross multiply
    241,231.52x = 361,778.16 × 81,290
  4. Step 4: Simplify right side
    241,231.52x = 29,408,946,626.40
  5. Step 5: Solve for x
    x = 29,408,946,626.40/241,231.52
  6. Step 6: Final answer
    x = 121,911.71

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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.