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Finding the Fourth Proportional to 77,121.54, 115,669.44 and 27,189.90

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Solution

The fourth proportional to 77,121.54, 115,669.44 and 27,189.90 is: 40,780.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,121.54 : 115,669.44 = 27,189.90 : x
  2. Step 2: Convert to fraction form
    77,121.54/115,669.44 = 27,189.90/x
  3. Step 3: Cross multiply
    77,121.54x = 115,669.44 × 27,189.90
  4. Step 4: Simplify right side
    77,121.54x = 3,145,040,506.66
  5. Step 5: Solve for x
    x = 3,145,040,506.66/77,121.54
  6. Step 6: Final answer
    x = 40,780.31

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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.