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Finding the Fourth Proportional to 77,716.80, 116,380.80 and 74,217.60

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Solution

The fourth proportional to 77,716.80, 116,380.80 and 74,217.60 is: 111,140.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,716.80 : 116,380.80 = 74,217.60 : x
  2. Step 2: Convert to fraction form
    77,716.80/116,380.80 = 74,217.60/x
  3. Step 3: Cross multiply
    77,716.80x = 116,380.80 × 74,217.60
  4. Step 4: Simplify right side
    77,716.80x = 8,637,503,662.08
  5. Step 5: Solve for x
    x = 8,637,503,662.08/77,716.80
  6. Step 6: Final answer
    x = 111,140.75

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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.