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Finding the Fourth Proportional to 181,396.80, 271,965.60 and 81,475.20

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Solution

The fourth proportional to 181,396.80, 271,965.60 and 81,475.20 is: 122,154.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,396.80 : 271,965.60 = 81,475.20 : x
  2. Step 2: Convert to fraction form
    181,396.80/271,965.60 = 81,475.20/x
  3. Step 3: Cross multiply
    181,396.80x = 271,965.60 × 81,475.20
  4. Step 4: Simplify right side
    181,396.80x = 22,158,451,653.12
  5. Step 5: Solve for x
    x = 22,158,451,653.12/181,396.80
  6. Step 6: Final answer
    x = 122,154.59

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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.