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Finding the Fourth Proportional to 81,687.70, 112,724.76 and 54,826.48

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Solution

The fourth proportional to 81,687.70, 112,724.76 and 54,826.48 is: 75,657.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,687.70 : 112,724.76 = 54,826.48 : x
  2. Step 2: Convert to fraction form
    81,687.70/112,724.76 = 54,826.48/x
  3. Step 3: Cross multiply
    81,687.70x = 112,724.76 × 54,826.48
  4. Step 4: Simplify right side
    81,687.70x = 6,180,301,799.64
  5. Step 5: Solve for x
    x = 6,180,301,799.64/81,687.70
  6. Step 6: Final answer
    x = 75,657.68

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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.