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Finding the Fourth Proportional to 203,830.32, 281,290.56 and 113,184

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Solution

The fourth proportional to 203,830.32, 281,290.56 and 113,184 is: 156,196.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,830.32 : 281,290.56 = 113,184 : x
  2. Step 2: Convert to fraction form
    203,830.32/281,290.56 = 113,184/x
  3. Step 3: Cross multiply
    203,830.32x = 281,290.56 × 113,184
  4. Step 4: Simplify right side
    203,830.32x = 31,837,590,743.04
  5. Step 5: Solve for x
    x = 31,837,590,743.04/203,830.32
  6. Step 6: Final answer
    x = 156,196.54

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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.