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Finding the Fourth Proportional to 171,154.40, 256,512.90 and 82,216.40

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Solution

The fourth proportional to 171,154.40, 256,512.90 and 82,216.40 is: 123,219.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,154.40 : 256,512.90 = 82,216.40 : x
  2. Step 2: Convert to fraction form
    171,154.40/256,512.90 = 82,216.40/x
  3. Step 3: Cross multiply
    171,154.40x = 256,512.90 × 82,216.40
  4. Step 4: Simplify right side
    171,154.40x = 21,089,567,191.56
  5. Step 5: Solve for x
    x = 21,089,567,191.56/171,154.40
  6. Step 6: Final answer
    x = 123,219.54

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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.