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Finding the Fourth Proportional to 252,185.76, 378,291.60 and 65,198.88

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Solution

The fourth proportional to 252,185.76, 378,291.60 and 65,198.88 is: 97,801.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,185.76 : 378,291.60 = 65,198.88 : x
  2. Step 2: Convert to fraction form
    252,185.76/378,291.60 = 65,198.88/x
  3. Step 3: Cross multiply
    252,185.76x = 378,291.60 × 65,198.88
  4. Step 4: Simplify right side
    252,185.76x = 24,664,188,633.41
  5. Step 5: Solve for x
    x = 24,664,188,633.41/252,185.76
  6. Step 6: Final answer
    x = 97,801.67

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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.