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Finding the Fourth Proportional to 199,202.91, 274,900.02 and 109,778.91

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Solution

The fourth proportional to 199,202.91, 274,900.02 and 109,778.91 is: 151,494.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,202.91 : 274,900.02 = 109,778.91 : x
  2. Step 2: Convert to fraction form
    199,202.91/274,900.02 = 109,778.91/x
  3. Step 3: Cross multiply
    199,202.91x = 274,900.02 × 109,778.91
  4. Step 4: Simplify right side
    199,202.91x = 30,178,223,112.03
  5. Step 5: Solve for x
    x = 30,178,223,112.03/199,202.91
  6. Step 6: Final answer
    x = 151,494.89

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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.