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Finding the Fourth Proportional to 68,224.28, 102,292.40 and 28,770.80

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Solution

The fourth proportional to 68,224.28, 102,292.40 and 28,770.80 is: 43,137.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,224.28 : 102,292.40 = 28,770.80 : x
  2. Step 2: Convert to fraction form
    68,224.28/102,292.40 = 28,770.80/x
  3. Step 3: Cross multiply
    68,224.28x = 102,292.40 × 28,770.80
  4. Step 4: Simplify right side
    68,224.28x = 2,943,033,742.38
  5. Step 5: Solve for x
    x = 2,943,033,742.38/68,224.28
  6. Step 6: Final answer
    x = 43,137.63

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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.