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Finding the Fourth Proportional to 120,739.70, 181,101.45 and 31,991.30

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Solution

The fourth proportional to 120,739.70, 181,101.45 and 31,991.30 is: 47,984.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,739.70 : 181,101.45 = 31,991.30 : x
  2. Step 2: Convert to fraction form
    120,739.70/181,101.45 = 31,991.30/x
  3. Step 3: Cross multiply
    120,739.70x = 181,101.45 × 31,991.30
  4. Step 4: Simplify right side
    120,739.70x = 5,793,670,817.39
  5. Step 5: Solve for x
    x = 5,793,670,817.39/120,739.70
  6. Step 6: Final answer
    x = 47,984.80

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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.