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Finding the Fourth Proportional to 312,080.94, 468,121.49 and 75,423.60

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Solution

The fourth proportional to 312,080.94, 468,121.49 and 75,423.60 is: 113,135.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,080.94 : 468,121.49 = 75,423.60 : x
  2. Step 2: Convert to fraction form
    312,080.94/468,121.49 = 75,423.60/x
  3. Step 3: Cross multiply
    312,080.94x = 468,121.49 × 75,423.60
  4. Step 4: Simplify right side
    312,080.94x = 35,307,406,163.43
  5. Step 5: Solve for x
    x = 35,307,406,163.43/312,080.94
  6. Step 6: Final answer
    x = 113,135.41

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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.