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Finding the Fourth Proportional to 80,356.80, 120,340.80 and 76,857.60

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Solution

The fourth proportional to 80,356.80, 120,340.80 and 76,857.60 is: 115,100.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,356.80 : 120,340.80 = 76,857.60 : x
  2. Step 2: Convert to fraction form
    80,356.80/120,340.80 = 76,857.60/x
  3. Step 3: Cross multiply
    80,356.80x = 120,340.80 × 76,857.60
  4. Step 4: Simplify right side
    80,356.80x = 9,249,105,070.08
  5. Step 5: Solve for x
    x = 9,249,105,070.08/80,356.80
  6. Step 6: Final answer
    x = 115,100.47

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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.