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Finding the Fourth Proportional to 83,738, 115,563.84 and 47,939.60

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Solution

The fourth proportional to 83,738, 115,563.84 and 47,939.60 is: 66,159.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,738 : 115,563.84 = 47,939.60 : x
  2. Step 2: Convert to fraction form
    83,738/115,563.84 = 47,939.60/x
  3. Step 3: Cross multiply
    83,738x = 115,563.84 × 47,939.60
  4. Step 4: Simplify right side
    83,738x = 5,540,084,264.06
  5. Step 5: Solve for x
    x = 5,540,084,264.06/83,738
  6. Step 6: Final answer
    x = 66,159.74

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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.