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Finding the Fourth Proportional to 255,940.68, 383,910.97 and 87,462.46

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Solution

The fourth proportional to 255,940.68, 383,910.97 and 87,462.46 is: 131,193.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,940.68 : 383,910.97 = 87,462.46 : x
  2. Step 2: Convert to fraction form
    255,940.68/383,910.97 = 87,462.46/x
  3. Step 3: Cross multiply
    255,940.68x = 383,910.97 × 87,462.46
  4. Step 4: Simplify right side
    255,940.68x = 33,577,797,857.19
  5. Step 5: Solve for x
    x = 33,577,797,857.19/255,940.68
  6. Step 6: Final answer
    x = 131,193.67

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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.