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Finding the Fourth Proportional to 203,198.90, 280,414.50 and 112,560.74

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Solution

The fourth proportional to 203,198.90, 280,414.50 and 112,560.74 is: 155,333.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,198.90 : 280,414.50 = 112,560.74 : x
  2. Step 2: Convert to fraction form
    203,198.90/280,414.50 = 112,560.74/x
  3. Step 3: Cross multiply
    203,198.90x = 280,414.50 × 112,560.74
  4. Step 4: Simplify right side
    203,198.90x = 31,563,662,646.76
  5. Step 5: Solve for x
    x = 31,563,662,646.76/203,198.90
  6. Step 6: Final answer
    x = 155,333.83

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1.5x scale

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.