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Finding the Fourth Proportional to 76,570.62, 114,846.81 and 20,414.94

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Solution

The fourth proportional to 76,570.62, 114,846.81 and 20,414.94 is: 30,619.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,570.62 : 114,846.81 = 20,414.94 : x
  2. Step 2: Convert to fraction form
    76,570.62/114,846.81 = 20,414.94/x
  3. Step 3: Cross multiply
    76,570.62x = 114,846.81 × 20,414.94
  4. Step 4: Simplify right side
    76,570.62x = 2,344,590,735.34
  5. Step 5: Solve for x
    x = 2,344,590,735.34/76,570.62
  6. Step 6: Final answer
    x = 30,619.98

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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.