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Finding the Fourth Proportional to 80,007.12, 110,465.28 and 49,806

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Solution

The fourth proportional to 80,007.12, 110,465.28 and 49,806 is: 68,766.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,007.12 : 110,465.28 = 49,806 : x
  2. Step 2: Convert to fraction form
    80,007.12/110,465.28 = 49,806/x
  3. Step 3: Cross multiply
    80,007.12x = 110,465.28 × 49,806
  4. Step 4: Simplify right side
    80,007.12x = 5,501,833,735.68
  5. Step 5: Solve for x
    x = 5,501,833,735.68/80,007.12
  6. Step 6: Final answer
    x = 68,766.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.