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Finding the Fourth Proportional to 81,907.69, 113,067.48 and 55,065.76

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Solution

The fourth proportional to 81,907.69, 113,067.48 and 55,065.76 is: 76,014.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,907.69 : 113,067.48 = 55,065.76 : x
  2. Step 2: Convert to fraction form
    81,907.69/113,067.48 = 55,065.76/x
  3. Step 3: Cross multiply
    81,907.69x = 113,067.48 × 55,065.76
  4. Step 4: Simplify right side
    81,907.69x = 6,226,147,040.88
  5. Step 5: Solve for x
    x = 6,226,147,040.88/81,907.69
  6. Step 6: Final answer
    x = 76,014.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.