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Finding the Fourth Proportional to 81,755.84, 112,824.06 and 49,920.32

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Solution

The fourth proportional to 81,755.84, 112,824.06 and 49,920.32 is: 68,890.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,755.84 : 112,824.06 = 49,920.32 : x
  2. Step 2: Convert to fraction form
    81,755.84/112,824.06 = 49,920.32/x
  3. Step 3: Cross multiply
    81,755.84x = 112,824.06 × 49,920.32
  4. Step 4: Simplify right side
    81,755.84x = 5,632,213,178.90
  5. Step 5: Solve for x
    x = 5,632,213,178.90/81,755.84
  6. Step 6: Final answer
    x = 68,890.65

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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.