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Finding the Fourth Proportional to 126,144, 189,169.78 and 41,888.88

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Solution

The fourth proportional to 126,144, 189,169.78 and 41,888.88 is: 62,817.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,144 : 189,169.78 = 41,888.88 : x
  2. Step 2: Convert to fraction form
    126,144/189,169.78 = 41,888.88/x
  3. Step 3: Cross multiply
    126,144x = 189,169.78 × 41,888.88
  4. Step 4: Simplify right side
    126,144x = 7,924,110,214.05
  5. Step 5: Solve for x
    x = 7,924,110,214.05/126,144
  6. Step 6: Final answer
    x = 62,817.97

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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.