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Finding the Fourth Proportional to 255,842.55, 383,765.04 and 78,349.41

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Solution

The fourth proportional to 255,842.55, 383,765.04 and 78,349.41 is: 117,524.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,842.55 : 383,765.04 = 78,349.41 : x
  2. Step 2: Convert to fraction form
    255,842.55/383,765.04 = 78,349.41/x
  3. Step 3: Cross multiply
    255,842.55x = 383,765.04 × 78,349.41
  4. Step 4: Simplify right side
    255,842.55x = 30,067,764,462.63
  5. Step 5: Solve for x
    x = 30,067,764,462.63/255,842.55
  6. Step 6: Final answer
    x = 117,524.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.