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Finding the Fourth Proportional to 255,842.76, 383,765.07 and 78,349.05

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Solution

The fourth proportional to 255,842.76, 383,765.07 and 78,349.05 is: 117,523.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,842.76 : 383,765.07 = 78,349.05 : x
  2. Step 2: Convert to fraction form
    255,842.76/383,765.07 = 78,349.05/x
  3. Step 3: Cross multiply
    255,842.76x = 383,765.07 × 78,349.05
  4. Step 4: Simplify right side
    255,842.76x = 30,067,628,657.68
  5. Step 5: Solve for x
    x = 30,067,628,657.68/255,842.76
  6. Step 6: Final answer
    x = 117,523.86

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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.