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Finding the Fourth Proportional to 281,647.80, 422,499.30 and 81,970.20

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Solution

The fourth proportional to 281,647.80, 422,499.30 and 81,970.20 is: 122,963.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,647.80 : 422,499.30 = 81,970.20 : x
  2. Step 2: Convert to fraction form
    281,647.80/422,499.30 = 81,970.20/x
  3. Step 3: Cross multiply
    281,647.80x = 422,499.30 × 81,970.20
  4. Step 4: Simplify right side
    281,647.80x = 34,632,352,120.86
  5. Step 5: Solve for x
    x = 34,632,352,120.86/281,647.80
  6. Step 6: Final answer
    x = 122,963.33

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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.