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Finding the Fourth Proportional to 159,739.92, 220,451.16 and 91,778.16

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Solution

The fourth proportional to 159,739.92, 220,451.16 and 91,778.16 is: 126,659.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,739.92 : 220,451.16 = 91,778.16 : x
  2. Step 2: Convert to fraction form
    159,739.92/220,451.16 = 91,778.16/x
  3. Step 3: Cross multiply
    159,739.92x = 220,451.16 × 91,778.16
  4. Step 4: Simplify right side
    159,739.92x = 20,232,601,834.67
  5. Step 5: Solve for x
    x = 20,232,601,834.67/159,739.92
  6. Step 6: Final answer
    x = 126,659.65

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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.