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Finding the Fourth Proportional to 198,857.88, 274,423.91 and 109,433.88

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Solution

The fourth proportional to 198,857.88, 274,423.91 and 109,433.88 is: 151,018.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,857.88 : 274,423.91 = 109,433.88 : x
  2. Step 2: Convert to fraction form
    198,857.88/274,423.91 = 109,433.88/x
  3. Step 3: Cross multiply
    198,857.88x = 274,423.91 × 109,433.88
  4. Step 4: Simplify right side
    198,857.88x = 30,031,273,236.07
  5. Step 5: Solve for x
    x = 30,031,273,236.07/198,857.88
  6. Step 6: Final answer
    x = 151,018.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.