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Finding the Fourth Proportional to 137,568, 189,843.84 and 81,014.16

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Solution

The fourth proportional to 137,568, 189,843.84 and 81,014.16 is: 111,799.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,568 : 189,843.84 = 81,014.16 : x
  2. Step 2: Convert to fraction form
    137,568/189,843.84 = 81,014.16/x
  3. Step 3: Cross multiply
    137,568x = 189,843.84 × 81,014.16
  4. Step 4: Simplify right side
    137,568x = 15,380,039,228.77
  5. Step 5: Solve for x
    x = 15,380,039,228.77/137,568
  6. Step 6: Final answer
    x = 111,799.54

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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.