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Finding the Fourth Proportional to 120,738.60, 181,107.90 and 37,632.60

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Solution

The fourth proportional to 120,738.60, 181,107.90 and 37,632.60 is: 56,448.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,738.60 : 181,107.90 = 37,632.60 : x
  2. Step 2: Convert to fraction form
    120,738.60/181,107.90 = 37,632.60/x
  3. Step 3: Cross multiply
    120,738.60x = 181,107.90 × 37,632.60
  4. Step 4: Simplify right side
    120,738.60x = 6,815,561,157.54
  5. Step 5: Solve for x
    x = 6,815,561,157.54/120,738.60
  6. Step 6: Final answer
    x = 56,448.90

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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.