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Finding the Fourth Proportional to 181,322.63, 271,910.13 and 81,456

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Solution

The fourth proportional to 181,322.63, 271,910.13 and 81,456 is: 122,150.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,322.63 : 271,910.13 = 81,456 : x
  2. Step 2: Convert to fraction form
    181,322.63/271,910.13 = 81,456/x
  3. Step 3: Cross multiply
    181,322.63x = 271,910.13 × 81,456
  4. Step 4: Simplify right side
    181,322.63x = 22,148,711,549.28
  5. Step 5: Solve for x
    x = 22,148,711,549.28/181,322.63
  6. Step 6: Final answer
    x = 122,150.84

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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.