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Finding the Fourth Proportional to 281,495.96, 422,271.60 and 81,818

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Solution

The fourth proportional to 281,495.96, 422,271.60 and 81,818 is: 122,735.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,495.96 : 422,271.60 = 81,818 : x
  2. Step 2: Convert to fraction form
    281,495.96/422,271.60 = 81,818/x
  3. Step 3: Cross multiply
    281,495.96x = 422,271.60 × 81,818
  4. Step 4: Simplify right side
    281,495.96x = 34,549,417,768.80
  5. Step 5: Solve for x
    x = 34,549,417,768.80/281,495.96
  6. Step 6: Final answer
    x = 122,735.04

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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.