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Finding the Fourth Proportional to 77,794.78, 107,362.92 and 71,763.52

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Solution

The fourth proportional to 77,794.78, 107,362.92 and 71,763.52 is: 99,039.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,794.78 : 107,362.92 = 71,763.52 : x
  2. Step 2: Convert to fraction form
    77,794.78/107,362.92 = 71,763.52/x
  3. Step 3: Cross multiply
    77,794.78x = 107,362.92 × 71,763.52
  4. Step 4: Simplify right side
    77,794.78x = 7,704,741,056.68
  5. Step 5: Solve for x
    x = 7,704,741,056.68/77,794.78
  6. Step 6: Final answer
    x = 99,039.31

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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.