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Finding the Fourth Proportional to 77,245.99, 115,775.42 and 32,779.33

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Solution

The fourth proportional to 77,245.99, 115,775.42 and 32,779.33 is: 49,129.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,245.99 : 115,775.42 = 32,779.33 : x
  2. Step 2: Convert to fraction form
    77,245.99/115,775.42 = 32,779.33/x
  3. Step 3: Cross multiply
    77,245.99x = 115,775.42 × 32,779.33
  4. Step 4: Simplify right side
    77,245.99x = 3,795,040,801.81
  5. Step 5: Solve for x
    x = 3,795,040,801.81/77,245.99
  6. Step 6: Final answer
    x = 49,129.29

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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.