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Finding the Fourth Proportional to 255,908.26, 383,848.56 and 78,415.81

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Solution

The fourth proportional to 255,908.26, 383,848.56 and 78,415.81 is: 117,619.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,908.26 : 383,848.56 = 78,415.81 : x
  2. Step 2: Convert to fraction form
    255,908.26/383,848.56 = 78,415.81/x
  3. Step 3: Cross multiply
    255,908.26x = 383,848.56 × 78,415.81
  4. Step 4: Simplify right side
    255,908.26x = 30,099,795,749.73
  5. Step 5: Solve for x
    x = 30,099,795,749.73/255,908.26
  6. Step 6: Final answer
    x = 117,619.48

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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.