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Finding the Fourth Proportional to 77,809, 107,395.86 and 44,294.44

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Solution

The fourth proportional to 77,809, 107,395.86 and 44,294.44 is: 61,137.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,809 : 107,395.86 = 44,294.44 : x
  2. Step 2: Convert to fraction form
    77,809/107,395.86 = 44,294.44/x
  3. Step 3: Cross multiply
    77,809x = 107,395.86 × 44,294.44
  4. Step 4: Simplify right side
    77,809x = 4,757,039,477.02
  5. Step 5: Solve for x
    x = 4,757,039,477.02/77,809
  6. Step 6: Final answer
    x = 61,137.39

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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.