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Finding the Fourth Proportional to 209,917.12, 315,006.92 and 85,258.12

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Solution

The fourth proportional to 209,917.12, 315,006.92 and 85,258.12 is: 127,940.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,917.12 : 315,006.92 = 85,258.12 : x
  2. Step 2: Convert to fraction form
    209,917.12/315,006.92 = 85,258.12/x
  3. Step 3: Cross multiply
    209,917.12x = 315,006.92 × 85,258.12
  4. Step 4: Simplify right side
    209,917.12x = 26,856,897,786.19
  5. Step 5: Solve for x
    x = 26,856,897,786.19/209,917.12
  6. Step 6: Final answer
    x = 127,940.48

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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.