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Finding the Fourth Proportional to 199,281.72, 298,993.86 and 85,381.68

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Solution

The fourth proportional to 199,281.72, 298,993.86 and 85,381.68 is: 128,103.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,281.72 : 298,993.86 = 85,381.68 : x
  2. Step 2: Convert to fraction form
    199,281.72/298,993.86 = 85,381.68/x
  3. Step 3: Cross multiply
    199,281.72x = 298,993.86 × 85,381.68
  4. Step 4: Simplify right side
    199,281.72x = 25,528,598,076.48
  5. Step 5: Solve for x
    x = 25,528,598,076.48/199,281.72
  6. Step 6: Final answer
    x = 128,103.06

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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.