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Finding the Fourth Proportional to 298,103.06, 447,105.98 and 87,691.80

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Solution

The fourth proportional to 298,103.06, 447,105.98 and 87,691.80 is: 131,523.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,103.06 : 447,105.98 = 87,691.80 : x
  2. Step 2: Convert to fraction form
    298,103.06/447,105.98 = 87,691.80/x
  3. Step 3: Cross multiply
    298,103.06x = 447,105.98 × 87,691.80
  4. Step 4: Simplify right side
    298,103.06x = 39,207,528,176.96
  5. Step 5: Solve for x
    x = 39,207,528,176.96/298,103.06
  6. Step 6: Final answer
    x = 131,523.40

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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.