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Finding the Fourth Proportional to 199,205.87, 274,894.29 and 108,561.53

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Solution

The fourth proportional to 199,205.87, 274,894.29 and 108,561.53 is: 149,809.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,205.87 : 274,894.29 = 108,561.53 : x
  2. Step 2: Convert to fraction form
    199,205.87/274,894.29 = 108,561.53/x
  3. Step 3: Cross multiply
    199,205.87x = 274,894.29 × 108,561.53
  4. Step 4: Simplify right side
    199,205.87x = 29,842,945,397.90
  5. Step 5: Solve for x
    x = 29,842,945,397.90/199,205.87
  6. Step 6: Final answer
    x = 149,809.57

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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.