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Finding the Fourth Proportional to 140,573.92, 193,987.16 and 80,164

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Solution

The fourth proportional to 140,573.92, 193,987.16 and 80,164 is: 110,623.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,573.92 : 193,987.16 = 80,164 : x
  2. Step 2: Convert to fraction form
    140,573.92/193,987.16 = 80,164/x
  3. Step 3: Cross multiply
    140,573.92x = 193,987.16 × 80,164
  4. Step 4: Simplify right side
    140,573.92x = 15,550,786,694.24
  5. Step 5: Solve for x
    x = 15,550,786,694.24/140,573.92
  6. Step 6: Final answer
    x = 110,623.55

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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.