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Finding the Fourth Proportional to 203,498.62, 280,823.72 and 117,450.85

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Solution

The fourth proportional to 203,498.62, 280,823.72 and 117,450.85 is: 162,079.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,498.62 : 280,823.72 = 117,450.85 : x
  2. Step 2: Convert to fraction form
    203,498.62/280,823.72 = 117,450.85/x
  3. Step 3: Cross multiply
    203,498.62x = 280,823.72 × 117,450.85
  4. Step 4: Simplify right side
    203,498.62x = 32,982,984,614.16
  5. Step 5: Solve for x
    x = 32,982,984,614.16/203,498.62
  6. Step 6: Final answer
    x = 162,079.65

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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.