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Finding the Fourth Proportional to 83,880.70, 115,717.21 and 49,869.88

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Solution

The fourth proportional to 83,880.70, 115,717.21 and 49,869.88 is: 68,797.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,880.70 : 115,717.21 = 49,869.88 : x
  2. Step 2: Convert to fraction form
    83,880.70/115,717.21 = 49,869.88/x
  3. Step 3: Cross multiply
    83,880.70x = 115,717.21 × 49,869.88
  4. Step 4: Simplify right side
    83,880.70x = 5,770,803,376.63
  5. Step 5: Solve for x
    x = 5,770,803,376.63/83,880.70
  6. Step 6: Final answer
    x = 68,797.75

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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.