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Finding the Fourth Proportional to 198,858.88, 274,425.30 and 109,434.88

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Solution

The fourth proportional to 198,858.88, 274,425.30 and 109,434.88 is: 151,020.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,858.88 : 274,425.30 = 109,434.88 : x
  2. Step 2: Convert to fraction form
    198,858.88/274,425.30 = 109,434.88/x
  3. Step 3: Cross multiply
    198,858.88x = 274,425.30 × 109,434.88
  4. Step 4: Simplify right side
    198,858.88x = 30,031,699,227.29
  5. Step 5: Solve for x
    x = 30,031,699,227.29/198,858.88
  6. Step 6: Final answer
    x = 151,020.16

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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.