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Finding the Fourth Proportional to 171,154.90, 256,513.65 and 82,216.90

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Solution

The fourth proportional to 171,154.90, 256,513.65 and 82,216.90 is: 123,220.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,154.90 : 256,513.65 = 82,216.90 : x
  2. Step 2: Convert to fraction form
    171,154.90/256,513.65 = 82,216.90/x
  3. Step 3: Cross multiply
    171,154.90x = 256,513.65 × 82,216.90
  4. Step 4: Simplify right side
    171,154.90x = 21,089,757,110.69
  5. Step 5: Solve for x
    x = 21,089,757,110.69/171,154.90
  6. Step 6: Final answer
    x = 123,220.29

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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.