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Finding the Fourth Proportional to 128,834.92, 193,224.30 and 65,587.96

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Solution

The fourth proportional to 128,834.92, 193,224.30 and 65,587.96 is: 98,367.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,834.92 : 193,224.30 = 65,587.96 : x
  2. Step 2: Convert to fraction form
    128,834.92/193,224.30 = 65,587.96/x
  3. Step 3: Cross multiply
    128,834.92x = 193,224.30 × 65,587.96
  4. Step 4: Simplify right side
    128,834.92x = 12,673,187,659.43
  5. Step 5: Solve for x
    x = 12,673,187,659.43/128,834.92
  6. Step 6: Final answer
    x = 98,367.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.