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Finding the Fourth Proportional to 83,878.40, 115,714.06 and 49,867.60

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Solution

The fourth proportional to 83,878.40, 115,714.06 and 49,867.60 is: 68,794.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,878.40 : 115,714.06 = 49,867.60 : x
  2. Step 2: Convert to fraction form
    83,878.40/115,714.06 = 49,867.60/x
  3. Step 3: Cross multiply
    83,878.40x = 115,714.06 × 49,867.60
  4. Step 4: Simplify right side
    83,878.40x = 5,770,382,044.50
  5. Step 5: Solve for x
    x = 5,770,382,044.50/83,878.40
  6. Step 6: Final answer
    x = 68,794.61

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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.