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Finding the Fourth Proportional to 77,109.62, 115,665.24 and 27,180.41

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Solution

The fourth proportional to 77,109.62, 115,665.24 and 27,180.41 is: 40,770.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,109.62 : 115,665.24 = 27,180.41 : x
  2. Step 2: Convert to fraction form
    77,109.62/115,665.24 = 27,180.41/x
  3. Step 3: Cross multiply
    77,109.62x = 115,665.24 × 27,180.41
  4. Step 4: Simplify right side
    77,109.62x = 3,143,828,645.95
  5. Step 5: Solve for x
    x = 3,143,828,645.95/77,109.62
  6. Step 6: Final answer
    x = 40,770.90

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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.