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Finding the Fourth Proportional to 199,204.91, 274,902.78 and 109,780.91

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Solution

The fourth proportional to 199,204.91, 274,902.78 and 109,780.91 is: 151,497.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,204.91 : 274,902.78 = 109,780.91 : x
  2. Step 2: Convert to fraction form
    199,204.91/274,902.78 = 109,780.91/x
  3. Step 3: Cross multiply
    199,204.91x = 274,902.78 × 109,780.91
  4. Step 4: Simplify right side
    199,204.91x = 30,179,077,349.93
  5. Step 5: Solve for x
    x = 30,179,077,349.93/199,204.91
  6. Step 6: Final answer
    x = 151,497.66

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1.5x scale

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.