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Finding the Fourth Proportional to 80,854.68, 110,771.31 and 77,824.43

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Solution

The fourth proportional to 80,854.68, 110,771.31 and 77,824.43 is: 106,619.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,854.68 : 110,771.31 = 77,824.43 : x
  2. Step 2: Convert to fraction form
    80,854.68/110,771.31 = 77,824.43/x
  3. Step 3: Cross multiply
    80,854.68x = 110,771.31 × 77,824.43
  4. Step 4: Simplify right side
    80,854.68x = 8,620,714,061.10
  5. Step 5: Solve for x
    x = 8,620,714,061.10/80,854.68
  6. Step 6: Final answer
    x = 106,619.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.