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Finding the Fourth Proportional to 76,412.00, 114,605.42 and 20,255.60

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Solution

The fourth proportional to 76,412.00, 114,605.42 and 20,255.60 is: 30,380.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,412.00 : 114,605.42 = 20,255.60 : x
  2. Step 2: Convert to fraction form
    76,412.00/114,605.42 = 20,255.60/x
  3. Step 3: Cross multiply
    76,412.00x = 114,605.42 × 20,255.60
  4. Step 4: Simplify right side
    76,412.00x = 2,321,400,871.05
  5. Step 5: Solve for x
    x = 2,321,400,871.05/76,412.00
  6. Step 6: Final answer
    x = 30,380.06

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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.