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Finding the Fourth Proportional to 255,920.09, 383,953.91 and 78,453.27

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Solution

The fourth proportional to 255,920.09, 383,953.91 and 78,453.27 is: 117,702.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,920.09 : 383,953.91 = 78,453.27 : x
  2. Step 2: Convert to fraction form
    255,920.09/383,953.91 = 78,453.27/x
  3. Step 3: Cross multiply
    255,920.09x = 383,953.91 × 78,453.27
  4. Step 4: Simplify right side
    255,920.09x = 30,122,439,376.52
  5. Step 5: Solve for x
    x = 30,122,439,376.52/255,920.09
  6. Step 6: Final answer
    x = 117,702.52

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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.