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Finding the Fourth Proportional to 181,958.40, 272,974.44 and 76,777.20

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Solution

The fourth proportional to 181,958.40, 272,974.44 and 76,777.20 is: 115,181.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,958.40 : 272,974.44 = 76,777.20 : x
  2. Step 2: Convert to fraction form
    181,958.40/272,974.44 = 76,777.20/x
  3. Step 3: Cross multiply
    181,958.40x = 272,974.44 × 76,777.20
  4. Step 4: Simplify right side
    181,958.40x = 20,958,213,174.77
  5. Step 5: Solve for x
    x = 20,958,213,174.77/181,958.40
  6. Step 6: Final answer
    x = 115,181.34

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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.