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Finding the Fourth Proportional to 281,445.68, 422,080.23 and 81,779.87

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Solution

The fourth proportional to 281,445.68, 422,080.23 and 81,779.87 is: 122,644.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,445.68 : 422,080.23 = 81,779.87 : x
  2. Step 2: Convert to fraction form
    281,445.68/422,080.23 = 81,779.87/x
  3. Step 3: Cross multiply
    281,445.68x = 422,080.23 × 81,779.87
  4. Step 4: Simplify right side
    281,445.68x = 34,517,666,338.97
  5. Step 5: Solve for x
    x = 34,517,666,338.97/281,445.68
  6. Step 6: Final answer
    x = 122,644.15

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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.