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Finding the Fourth Proportional to 77,805, 107,390.34 and 44,290.44

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Solution

The fourth proportional to 77,805, 107,390.34 and 44,290.44 is: 61,131.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,805 : 107,390.34 = 44,290.44 : x
  2. Step 2: Convert to fraction form
    77,805/107,390.34 = 44,290.44/x
  3. Step 3: Cross multiply
    77,805x = 107,390.34 × 44,290.44
  4. Step 4: Simplify right side
    77,805x = 4,756,365,410.35
  5. Step 5: Solve for x
    x = 4,756,365,410.35/77,805
  6. Step 6: Final answer
    x = 61,131.87

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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.