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Finding the Fourth Proportional to 281,646.80, 422,229.62 and 104,120.72

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Solution

The fourth proportional to 281,646.80, 422,229.62 and 104,120.72 is: 156,092.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,646.80 : 422,229.62 = 104,120.72 : x
  2. Step 2: Convert to fraction form
    281,646.80/422,229.62 = 104,120.72/x
  3. Step 3: Cross multiply
    281,646.80x = 422,229.62 × 104,120.72
  4. Step 4: Simplify right side
    281,646.80x = 43,962,852,039.73
  5. Step 5: Solve for x
    x = 43,962,852,039.73/281,646.80
  6. Step 6: Final answer
    x = 156,092.14

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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.