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Finding the Fourth Proportional to 83,856.56, 125,843.16 and 54,200.84

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Solution

The fourth proportional to 83,856.56, 125,843.16 and 54,200.84 is: 81,338.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,856.56 : 125,843.16 = 54,200.84 : x
  2. Step 2: Convert to fraction form
    83,856.56/125,843.16 = 54,200.84/x
  3. Step 3: Cross multiply
    83,856.56x = 125,843.16 × 54,200.84
  4. Step 4: Simplify right side
    83,856.56x = 6,820,804,980.25
  5. Step 5: Solve for x
    x = 6,820,804,980.25/83,856.56
  6. Step 6: Final answer
    x = 81,338.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.