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Finding the Fourth Proportional to 191,965.20, 287,947.80 and 169,414.80

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Solution

The fourth proportional to 191,965.20, 287,947.80 and 169,414.80 is: 254,122.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,965.20 : 287,947.80 = 169,414.80 : x
  2. Step 2: Convert to fraction form
    191,965.20/287,947.80 = 169,414.80/x
  3. Step 3: Cross multiply
    191,965.20x = 287,947.80 × 169,414.80
  4. Step 4: Simplify right side
    191,965.20x = 48,782,618,947.44
  5. Step 5: Solve for x
    x = 48,782,618,947.44/191,965.20
  6. Step 6: Final answer
    x = 254,122.20

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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.