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Finding the Fourth Proportional to 203,642.96, 281,013.78 and 112,993.18

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Solution

The fourth proportional to 203,642.96, 281,013.78 and 112,993.18 is: 155,923.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,642.96 : 281,013.78 = 112,993.18 : x
  2. Step 2: Convert to fraction form
    203,642.96/281,013.78 = 112,993.18/x
  3. Step 3: Cross multiply
    203,642.96x = 281,013.78 × 112,993.18
  4. Step 4: Simplify right side
    203,642.96x = 31,752,640,029.42
  5. Step 5: Solve for x
    x = 31,752,640,029.42/203,642.96
  6. Step 6: Final answer
    x = 155,923.09

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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.