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Finding the Fourth Proportional to 179,963.20, 269,944.80 and 105,167.80

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Solution

The fourth proportional to 179,963.20, 269,944.80 and 105,167.80 is: 157,751.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,963.20 : 269,944.80 = 105,167.80 : x
  2. Step 2: Convert to fraction form
    179,963.20/269,944.80 = 105,167.80/x
  3. Step 3: Cross multiply
    179,963.20x = 269,944.80 × 105,167.80
  4. Step 4: Simplify right side
    179,963.20x = 28,389,500,737.44
  5. Step 5: Solve for x
    x = 28,389,500,737.44/179,963.20
  6. Step 6: Final answer
    x = 157,751.70

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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.