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Finding the Fourth Proportional to 255,910.22, 383,851.47 and 78,417.75

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Solution

The fourth proportional to 255,910.22, 383,851.47 and 78,417.75 is: 117,622.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,910.22 : 383,851.47 = 78,417.75 : x
  2. Step 2: Convert to fraction form
    255,910.22/383,851.47 = 78,417.75/x
  3. Step 3: Cross multiply
    255,910.22x = 383,851.47 × 78,417.75
  4. Step 4: Simplify right side
    255,910.22x = 30,100,768,611.59
  5. Step 5: Solve for x
    x = 30,100,768,611.59/255,910.22
  6. Step 6: Final answer
    x = 117,622.38

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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.