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Finding the Fourth Proportional to 68,148.94, 102,224.49 and 20,765.02

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Solution

The fourth proportional to 68,148.94, 102,224.49 and 20,765.02 is: 31,147.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,148.94 : 102,224.49 = 20,765.02 : x
  2. Step 2: Convert to fraction form
    68,148.94/102,224.49 = 20,765.02/x
  3. Step 3: Cross multiply
    68,148.94x = 102,224.49 × 20,765.02
  4. Step 4: Simplify right side
    68,148.94x = 2,122,693,579.34
  5. Step 5: Solve for x
    x = 2,122,693,579.34/68,148.94
  6. Step 6: Final answer
    x = 31,147.86

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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.