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Finding the Fourth Proportional to 171,142.90, 256,495.65 and 82,204.90

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Solution

The fourth proportional to 171,142.90, 256,495.65 and 82,204.90 is: 123,202.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,142.90 : 256,495.65 = 82,204.90 : x
  2. Step 2: Convert to fraction form
    171,142.90/256,495.65 = 82,204.90/x
  3. Step 3: Cross multiply
    171,142.90x = 256,495.65 × 82,204.90
  4. Step 4: Simplify right side
    171,142.90x = 21,085,199,258.69
  5. Step 5: Solve for x
    x = 21,085,199,258.69/171,142.90
  6. Step 6: Final answer
    x = 123,202.30

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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.