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Finding the Fourth Proportional to 198,857.63, 274,423.57 and 109,433.63

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Solution

The fourth proportional to 198,857.63, 274,423.57 and 109,433.63 is: 151,018.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,857.63 : 274,423.57 = 109,433.63 : x
  2. Step 2: Convert to fraction form
    198,857.63/274,423.57 = 109,433.63/x
  3. Step 3: Cross multiply
    198,857.63x = 274,423.57 × 109,433.63
  4. Step 4: Simplify right side
    198,857.63x = 30,031,167,422.66
  5. Step 5: Solve for x
    x = 30,031,167,422.66/198,857.63
  6. Step 6: Final answer
    x = 151,018.43

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1.5x scale

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.