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Finding the Fourth Proportional to 81,706.16, 112,766.78 and 49,893.41

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Solution

The fourth proportional to 81,706.16, 112,766.78 and 49,893.41 is: 68,860.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,706.16 : 112,766.78 = 49,893.41 : x
  2. Step 2: Convert to fraction form
    81,706.16/112,766.78 = 49,893.41/x
  3. Step 3: Cross multiply
    81,706.16x = 112,766.78 × 49,893.41
  4. Step 4: Simplify right side
    81,706.16x = 5,626,318,939.45
  5. Step 5: Solve for x
    x = 5,626,318,939.45/81,706.16
  6. Step 6: Final answer
    x = 68,860.40

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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.