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Finding the Fourth Proportional to 201,787.89, 278,467.28 and 116,954.16

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Solution

The fourth proportional to 201,787.89, 278,467.28 and 116,954.16 is: 161,396.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,787.89 : 278,467.28 = 116,954.16 : x
  2. Step 2: Convert to fraction form
    201,787.89/278,467.28 = 116,954.16/x
  3. Step 3: Cross multiply
    201,787.89x = 278,467.28 × 116,954.16
  4. Step 4: Simplify right side
    201,787.89x = 32,567,906,235.11
  5. Step 5: Solve for x
    x = 32,567,906,235.11/201,787.89
  6. Step 6: Final answer
    x = 161,396.73

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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.