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Finding the Fourth Proportional to 77,080.80, 115,621.20 and 50,469.60

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Solution

The fourth proportional to 77,080.80, 115,621.20 and 50,469.60 is: 75,704.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,080.80 : 115,621.20 = 50,469.60 : x
  2. Step 2: Convert to fraction form
    77,080.80/115,621.20 = 50,469.60/x
  3. Step 3: Cross multiply
    77,080.80x = 115,621.20 × 50,469.60
  4. Step 4: Simplify right side
    77,080.80x = 5,835,355,715.52
  5. Step 5: Solve for x
    x = 5,835,355,715.52/77,080.80
  6. Step 6: Final answer
    x = 75,704.40

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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.