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Finding the Fourth Proportional to 206,442.20, 309,672.30 and 56,678.60

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Solution

The fourth proportional to 206,442.20, 309,672.30 and 56,678.60 is: 85,020.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,442.20 : 309,672.30 = 56,678.60 : x
  2. Step 2: Convert to fraction form
    206,442.20/309,672.30 = 56,678.60/x
  3. Step 3: Cross multiply
    206,442.20x = 309,672.30 × 56,678.60
  4. Step 4: Simplify right side
    206,442.20x = 17,551,792,422.78
  5. Step 5: Solve for x
    x = 17,551,792,422.78/206,442.20
  6. Step 6: Final answer
    x = 85,020.37

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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.