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Finding the Fourth Proportional to 199,114.80, 274,778.42 and 109,690.80

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Solution

The fourth proportional to 199,114.80, 274,778.42 and 109,690.80 is: 151,373.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,114.80 : 274,778.42 = 109,690.80 : x
  2. Step 2: Convert to fraction form
    199,114.80/274,778.42 = 109,690.80/x
  3. Step 3: Cross multiply
    199,114.80x = 274,778.42 × 109,690.80
  4. Step 4: Simplify right side
    199,114.80x = 30,140,664,712.54
  5. Step 5: Solve for x
    x = 30,140,664,712.54/199,114.80
  6. Step 6: Final answer
    x = 151,373.30

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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.