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Finding the Fourth Proportional to 198,971, 274,813.26 and 131,786.36

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Solution

The fourth proportional to 198,971, 274,813.26 and 131,786.36 is: 182,019.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,971 : 274,813.26 = 131,786.36 : x
  2. Step 2: Convert to fraction form
    198,971/274,813.26 = 131,786.36/x
  3. Step 3: Cross multiply
    198,971x = 274,813.26 × 131,786.36
  4. Step 4: Simplify right side
    198,971x = 36,216,639,215.13
  5. Step 5: Solve for x
    x = 36,216,639,215.13/198,971
  6. Step 6: Final answer
    x = 182,019.69

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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.