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Finding the Fourth Proportional to 209,961.82, 315,073.34 and 85,302.82

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Solution

The fourth proportional to 209,961.82, 315,073.34 and 85,302.82 is: 128,007.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,961.82 : 315,073.34 = 85,302.82 : x
  2. Step 2: Convert to fraction form
    209,961.82/315,073.34 = 85,302.82/x
  3. Step 3: Cross multiply
    209,961.82x = 315,073.34 × 85,302.82
  4. Step 4: Simplify right side
    209,961.82x = 26,876,645,175.86
  5. Step 5: Solve for x
    x = 26,876,645,175.86/209,961.82
  6. Step 6: Final answer
    x = 128,007.30

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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.