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Finding the Fourth Proportional to 199,456.59, 298,910.46 and 85,467.96

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Solution

The fourth proportional to 199,456.59, 298,910.46 and 85,467.96 is: 128,084.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,456.59 : 298,910.46 = 85,467.96 : x
  2. Step 2: Convert to fraction form
    199,456.59/298,910.46 = 85,467.96/x
  3. Step 3: Cross multiply
    199,456.59x = 298,910.46 × 85,467.96
  4. Step 4: Simplify right side
    199,456.59x = 25,547,267,238.86
  5. Step 5: Solve for x
    x = 25,547,267,238.86/199,456.59
  6. Step 6: Final answer
    x = 128,084.35

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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.