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Finding the Fourth Proportional to 77,790.80, 107,424.96 and 61,991.52

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Solution

The fourth proportional to 77,790.80, 107,424.96 and 61,991.52 is: 85,606.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,790.80 : 107,424.96 = 61,991.52 : x
  2. Step 2: Convert to fraction form
    77,790.80/107,424.96 = 61,991.52/x
  3. Step 3: Cross multiply
    77,790.80x = 107,424.96 × 61,991.52
  4. Step 4: Simplify right side
    77,790.80x = 6,659,436,556.34
  5. Step 5: Solve for x
    x = 6,659,436,556.34/77,790.80
  6. Step 6: Final answer
    x = 85,606.99

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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.