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Finding the Fourth Proportional to 83,426.45, 115,157.96 and 49,892.45

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Solution

The fourth proportional to 83,426.45, 115,157.96 and 49,892.45 is: 68,869.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,426.45 : 115,157.96 = 49,892.45 : x
  2. Step 2: Convert to fraction form
    83,426.45/115,157.96 = 49,892.45/x
  3. Step 3: Cross multiply
    83,426.45x = 115,157.96 × 49,892.45
  4. Step 4: Simplify right side
    83,426.45x = 5,745,511,936.15
  5. Step 5: Solve for x
    x = 5,745,511,936.15/83,426.45
  6. Step 6: Final answer
    x = 68,869.19

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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.