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Finding the Fourth Proportional to 120,866.88, 181,238.01 and 54,249.90

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Solution

The fourth proportional to 120,866.88, 181,238.01 and 54,249.90 is: 81,346.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,866.88 : 181,238.01 = 54,249.90 : x
  2. Step 2: Convert to fraction form
    120,866.88/181,238.01 = 54,249.90/x
  3. Step 3: Cross multiply
    120,866.88x = 181,238.01 × 54,249.90
  4. Step 4: Simplify right side
    120,866.88x = 9,832,143,918.70
  5. Step 5: Solve for x
    x = 9,832,143,918.70/120,866.88
  6. Step 6: Final answer
    x = 81,346.88

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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.