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Finding the Fourth Proportional to 115,856.72, 159,843.12 and 73,409.12

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Solution

The fourth proportional to 115,856.72, 159,843.12 and 73,409.12 is: 101,279.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,856.72 : 159,843.12 = 73,409.12 : x
  2. Step 2: Convert to fraction form
    115,856.72/159,843.12 = 73,409.12/x
  3. Step 3: Cross multiply
    115,856.72x = 159,843.12 × 73,409.12
  4. Step 4: Simplify right side
    115,856.72x = 11,733,942,777.25
  5. Step 5: Solve for x
    x = 11,733,942,777.25/115,856.72
  6. Step 6: Final answer
    x = 101,279.78

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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.