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Finding the Fourth Proportional to 281,495.65, 422,271.20 and 81,817.78

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Solution

The fourth proportional to 281,495.65, 422,271.20 and 81,817.78 is: 122,734.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,495.65 : 422,271.20 = 81,817.78 : x
  2. Step 2: Convert to fraction form
    281,495.65/422,271.20 = 81,817.78/x
  3. Step 3: Cross multiply
    281,495.65x = 422,271.20 × 81,817.78
  4. Step 4: Simplify right side
    281,495.65x = 34,549,292,141.94
  5. Step 5: Solve for x
    x = 34,549,292,141.94/281,495.65
  6. Step 6: Final answer
    x = 122,734.73

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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.