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Finding the Fourth Proportional to 81,478.94, 122,405.51 and 57,518.33

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Solution

The fourth proportional to 81,478.94, 122,405.51 and 57,518.33 is: 86,409.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,478.94 : 122,405.51 = 57,518.33 : x
  2. Step 2: Convert to fraction form
    81,478.94/122,405.51 = 57,518.33/x
  3. Step 3: Cross multiply
    81,478.94x = 122,405.51 × 57,518.33
  4. Step 4: Simplify right side
    81,478.94x = 7,040,560,049.77
  5. Step 5: Solve for x
    x = 7,040,560,049.77/81,478.94
  6. Step 6: Final answer
    x = 86,409.57

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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.