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Finding the Fourth Proportional to 199,060.80, 298,591.20 and 105,748.80

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Solution

The fourth proportional to 199,060.80, 298,591.20 and 105,748.80 is: 158,623.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,060.80 : 298,591.20 = 105,748.80 : x
  2. Step 2: Convert to fraction form
    199,060.80/298,591.20 = 105,748.80/x
  3. Step 3: Cross multiply
    199,060.80x = 298,591.20 × 105,748.80
  4. Step 4: Simplify right side
    199,060.80x = 31,575,661,090.56
  5. Step 5: Solve for x
    x = 31,575,661,090.56/199,060.80
  6. Step 6: Final answer
    x = 158,623.20

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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.