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Finding the Fourth Proportional to 120,890.70, 181,249.65 and 54,276.30

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Solution

The fourth proportional to 120,890.70, 181,249.65 and 54,276.30 is: 81,375.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,890.70 : 181,249.65 = 54,276.30 : x
  2. Step 2: Convert to fraction form
    120,890.70/181,249.65 = 54,276.30/x
  3. Step 3: Cross multiply
    120,890.70x = 181,249.65 × 54,276.30
  4. Step 4: Simplify right side
    120,890.70x = 9,837,560,378.30
  5. Step 5: Solve for x
    x = 9,837,560,378.30/120,890.70
  6. Step 6: Final answer
    x = 81,375.66

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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.