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Finding the Fourth Proportional to 181,007, 271,517.82 and 86,188.40

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Solution

The fourth proportional to 181,007, 271,517.82 and 86,188.40 is: 129,286.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,007 : 271,517.82 = 86,188.40 : x
  2. Step 2: Convert to fraction form
    181,007/271,517.82 = 86,188.40/x
  3. Step 3: Cross multiply
    181,007x = 271,517.82 × 86,188.40
  4. Step 4: Simplify right side
    181,007x = 23,401,686,477.29
  5. Step 5: Solve for x
    x = 23,401,686,477.29/181,007
  6. Step 6: Final answer
    x = 129,286.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.