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Finding the Fourth Proportional to 281,445.48, 422,170.38 and 81,779.40

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Solution

The fourth proportional to 281,445.48, 422,170.38 and 81,779.40 is: 122,669.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,445.48 : 422,170.38 = 81,779.40 : x
  2. Step 2: Convert to fraction form
    281,445.48/422,170.38 = 81,779.40/x
  3. Step 3: Cross multiply
    281,445.48x = 422,170.38 × 81,779.40
  4. Step 4: Simplify right side
    281,445.48x = 34,524,840,374.17
  5. Step 5: Solve for x
    x = 34,524,840,374.17/281,445.48
  6. Step 6: Final answer
    x = 122,669.73

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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.