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Finding the Fourth Proportional to 76,414.92, 114,616.94 and 20,253.78

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Solution

The fourth proportional to 76,414.92, 114,616.94 and 20,253.78 is: 30,379.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,414.92 : 114,616.94 = 20,253.78 : x
  2. Step 2: Convert to fraction form
    76,414.92/114,616.94 = 20,253.78/x
  3. Step 3: Cross multiply
    76,414.92x = 114,616.94 × 20,253.78
  4. Step 4: Simplify right side
    76,414.92x = 2,321,426,287.03
  5. Step 5: Solve for x
    x = 2,321,426,287.03/76,414.92
  6. Step 6: Final answer
    x = 30,379.23

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1.5x scale

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.