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Finding the Fourth Proportional to 121,213.60, 181,928.40 and 71,231.20

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Solution

The fourth proportional to 121,213.60, 181,928.40 and 71,231.20 is: 106,910.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,213.60 : 181,928.40 = 71,231.20 : x
  2. Step 2: Convert to fraction form
    121,213.60/181,928.40 = 71,231.20/x
  3. Step 3: Cross multiply
    121,213.60x = 181,928.40 × 71,231.20
  4. Step 4: Simplify right side
    121,213.60x = 12,958,978,246.08
  5. Step 5: Solve for x
    x = 12,958,978,246.08/121,213.60
  6. Step 6: Final answer
    x = 106,910.27

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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.