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Finding the Fourth Proportional to 204,234.28, 281,728.26 and 122,541.40

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Solution

The fourth proportional to 204,234.28, 281,728.26 and 122,541.40 is: 169,038.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,234.28 : 281,728.26 = 122,541.40 : x
  2. Step 2: Convert to fraction form
    204,234.28/281,728.26 = 122,541.40/x
  3. Step 3: Cross multiply
    204,234.28x = 281,728.26 × 122,541.40
  4. Step 4: Simplify right side
    204,234.28x = 34,523,375,399.96
  5. Step 5: Solve for x
    x = 34,523,375,399.96/204,234.28
  6. Step 6: Final answer
    x = 169,038.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.