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Finding the Fourth Proportional to 78,921.92, 108,690.83 and 73,856.51

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Solution

The fourth proportional to 78,921.92, 108,690.83 and 73,856.51 is: 101,714.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,921.92 : 108,690.83 = 73,856.51 : x
  2. Step 2: Convert to fraction form
    78,921.92/108,690.83 = 73,856.51/x
  3. Step 3: Cross multiply
    78,921.92x = 108,690.83 × 73,856.51
  4. Step 4: Simplify right side
    78,921.92x = 8,027,524,829.35
  5. Step 5: Solve for x
    x = 8,027,524,829.35/78,921.92
  6. Step 6: Final answer
    x = 101,714.78

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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.