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Finding the Fourth Proportional to 81,779.95, 122,544.74 and 55,026.86

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Solution

The fourth proportional to 81,779.95, 122,544.74 and 55,026.86 is: 82,456.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,779.95 : 122,544.74 = 55,026.86 : x
  2. Step 2: Convert to fraction form
    81,779.95/122,544.74 = 55,026.86/x
  3. Step 3: Cross multiply
    81,779.95x = 122,544.74 × 55,026.86
  4. Step 4: Simplify right side
    81,779.95x = 6,743,252,251.72
  5. Step 5: Solve for x
    x = 6,743,252,251.72/81,779.95
  6. Step 6: Final answer
    x = 82,456.06

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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.