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Finding the Fourth Proportional to 181,181.97, 271,866.38 and 81,411.57

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Solution

The fourth proportional to 181,181.97, 271,866.38 and 81,411.57 is: 122,159.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,181.97 : 271,866.38 = 81,411.57 : x
  2. Step 2: Convert to fraction form
    181,181.97/271,866.38 = 81,411.57/x
  3. Step 3: Cross multiply
    181,181.97x = 271,866.38 × 81,411.57
  4. Step 4: Simplify right side
    181,181.97x = 22,133,068,418.96
  5. Step 5: Solve for x
    x = 22,133,068,418.96/181,181.97
  6. Step 6: Final answer
    x = 122,159.33

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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.