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Finding the Fourth Proportional to 203,198.57, 280,387.46 and 117,160.79

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Solution

The fourth proportional to 203,198.57, 280,387.46 and 117,160.79 is: 161,666.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,198.57 : 280,387.46 = 117,160.79 : x
  2. Step 2: Convert to fraction form
    203,198.57/280,387.46 = 117,160.79/x
  3. Step 3: Cross multiply
    203,198.57x = 280,387.46 × 117,160.79
  4. Step 4: Simplify right side
    203,198.57x = 32,850,415,733.89
  5. Step 5: Solve for x
    x = 32,850,415,733.89/203,198.57
  6. Step 6: Final answer
    x = 161,666.57

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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.