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Finding the Fourth Proportional to 198,703.68, 274,210.92 and 109,279.68

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Solution

The fourth proportional to 198,703.68, 274,210.92 and 109,279.68 is: 150,805.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,703.68 : 274,210.92 = 109,279.68 : x
  2. Step 2: Convert to fraction form
    198,703.68/274,210.92 = 109,279.68/x
  3. Step 3: Cross multiply
    198,703.68x = 274,210.92 × 109,279.68
  4. Step 4: Simplify right side
    198,703.68x = 29,965,681,590.11
  5. Step 5: Solve for x
    x = 29,965,681,590.11/198,703.68
  6. Step 6: Final answer
    x = 150,805.87

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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.