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Finding the Fourth Proportional to 181,245.78, 271,980.95 and 105,380.03

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Solution

The fourth proportional to 181,245.78, 271,980.95 and 105,380.03 is: 158,135.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,245.78 : 271,980.95 = 105,380.03 : x
  2. Step 2: Convert to fraction form
    181,245.78/271,980.95 = 105,380.03/x
  3. Step 3: Cross multiply
    181,245.78x = 271,980.95 × 105,380.03
  4. Step 4: Simplify right side
    181,245.78x = 28,661,358,783.62
  5. Step 5: Solve for x
    x = 28,661,358,783.62/181,245.78
  6. Step 6: Final answer
    x = 158,135.32

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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.