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Finding the Fourth Proportional to 80,596.80, 120,700.80 and 77,097.60

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Solution

The fourth proportional to 80,596.80, 120,700.80 and 77,097.60 is: 115,460.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,596.80 : 120,700.80 = 77,097.60 : x
  2. Step 2: Convert to fraction form
    80,596.80/120,700.80 = 77,097.60/x
  3. Step 3: Cross multiply
    80,596.80x = 120,700.80 × 77,097.60
  4. Step 4: Simplify right side
    80,596.80x = 9,305,741,998.08
  5. Step 5: Solve for x
    x = 9,305,741,998.08/80,596.80
  6. Step 6: Final answer
    x = 115,460.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.