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Finding the Fourth Proportional to 199,180, 274,874.16 and 109,761.76

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Solution

The fourth proportional to 199,180, 274,874.16 and 109,761.76 is: 151,474.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,180 : 274,874.16 = 109,761.76 : x
  2. Step 2: Convert to fraction form
    199,180/274,874.16 = 109,761.76/x
  3. Step 3: Cross multiply
    199,180x = 274,874.16 × 109,761.76
  4. Step 4: Simplify right side
    199,180x = 30,170,671,580.12
  5. Step 5: Solve for x
    x = 30,170,671,580.12/199,180
  6. Step 6: Final answer
    x = 151,474.40

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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.