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Finding the Fourth Proportional to 204,383.86, 281,808.47 and 139,884.22

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Solution

The fourth proportional to 204,383.86, 281,808.47 and 139,884.22 is: 192,875.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,383.86 : 281,808.47 = 139,884.22 : x
  2. Step 2: Convert to fraction form
    204,383.86/281,808.47 = 139,884.22/x
  3. Step 3: Cross multiply
    204,383.86x = 281,808.47 × 139,884.22
  4. Step 4: Simplify right side
    204,383.86x = 39,420,557,660.53
  5. Step 5: Solve for x
    x = 39,420,557,660.53/204,383.86
  6. Step 6: Final answer
    x = 192,875.10

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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.