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Finding the Fourth Proportional to 199,432, 298,980.22 and 92,761.78

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Solution

The fourth proportional to 199,432, 298,980.22 and 92,761.78 is: 139,064.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,432 : 298,980.22 = 92,761.78 : x
  2. Step 2: Convert to fraction form
    199,432/298,980.22 = 92,761.78/x
  3. Step 3: Cross multiply
    199,432x = 298,980.22 × 92,761.78
  4. Step 4: Simplify right side
    199,432x = 27,733,935,433.28
  5. Step 5: Solve for x
    x = 27,733,935,433.28/199,432
  6. Step 6: Final answer
    x = 139,064.62

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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.