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Finding the Fourth Proportional to 199,081.68, 274,723.20 and 108,437.22

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Solution

The fourth proportional to 199,081.68, 274,723.20 and 108,437.22 is: 149,638.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,081.68 : 274,723.20 = 108,437.22 : x
  2. Step 2: Convert to fraction form
    199,081.68/274,723.20 = 108,437.22/x
  3. Step 3: Cross multiply
    199,081.68x = 274,723.20 × 108,437.22
  4. Step 4: Simplify right side
    199,081.68x = 29,790,220,077.50
  5. Step 5: Solve for x
    x = 29,790,220,077.50/199,081.68
  6. Step 6: Final answer
    x = 149,638.18

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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.