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Finding the Fourth Proportional to 81,282.69, 121,942.26 and 28,696.28

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Solution

The fourth proportional to 81,282.69, 121,942.26 and 28,696.28 is: 43,050.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,282.69 : 121,942.26 = 28,696.28 : x
  2. Step 2: Convert to fraction form
    81,282.69/121,942.26 = 28,696.28/x
  3. Step 3: Cross multiply
    81,282.69x = 121,942.26 × 28,696.28
  4. Step 4: Simplify right side
    81,282.69x = 3,499,288,627.08
  5. Step 5: Solve for x
    x = 3,499,288,627.08/81,282.69
  6. Step 6: Final answer
    x = 43,050.85

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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.