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Finding the Fourth Proportional to 76,576.62, 114,870.42 and 20,416.44

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Solution

The fourth proportional to 76,576.62, 114,870.42 and 20,416.44 is: 30,626.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,576.62 : 114,870.42 = 20,416.44 : x
  2. Step 2: Convert to fraction form
    76,576.62/114,870.42 = 20,416.44/x
  3. Step 3: Cross multiply
    76,576.62x = 114,870.42 × 20,416.44
  4. Step 4: Simplify right side
    76,576.62x = 2,345,245,037.70
  5. Step 5: Solve for x
    x = 2,345,245,037.70/76,576.62
  6. Step 6: Final answer
    x = 30,626.12

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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.