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Finding the Fourth Proportional to 76,570.48, 114,846.60 and 20,414.80

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Solution

The fourth proportional to 76,570.48, 114,846.60 and 20,414.80 is: 30,619.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,570.48 : 114,846.60 = 20,414.80 : x
  2. Step 2: Convert to fraction form
    76,570.48/114,846.60 = 20,414.80/x
  3. Step 3: Cross multiply
    76,570.48x = 114,846.60 × 20,414.80
  4. Step 4: Simplify right side
    76,570.48x = 2,344,570,369.68
  5. Step 5: Solve for x
    x = 2,344,570,369.68/76,570.48
  6. Step 6: Final answer
    x = 30,619.77

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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.