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Finding the Fourth Proportional to 83,620.94, 115,378.61 and 49,640.63

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Solution

The fourth proportional to 83,620.94, 115,378.61 and 49,640.63 is: 68,493.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,620.94 : 115,378.61 = 49,640.63 : x
  2. Step 2: Convert to fraction form
    83,620.94/115,378.61 = 49,640.63/x
  3. Step 3: Cross multiply
    83,620.94x = 115,378.61 × 49,640.63
  4. Step 4: Simplify right side
    83,620.94x = 5,727,466,063.83
  5. Step 5: Solve for x
    x = 5,727,466,063.83/83,620.94
  6. Step 6: Final answer
    x = 68,493.21

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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.