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Finding the Fourth Proportional to 230,441.79, 345,662.70 and 72,682.56

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Solution

The fourth proportional to 230,441.79, 345,662.70 and 72,682.56 is: 109,023.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,441.79 : 345,662.70 = 72,682.56 : x
  2. Step 2: Convert to fraction form
    230,441.79/345,662.70 = 72,682.56/x
  3. Step 3: Cross multiply
    230,441.79x = 345,662.70 × 72,682.56
  4. Step 4: Simplify right side
    230,441.79x = 25,123,649,932.51
  5. Step 5: Solve for x
    x = 25,123,649,932.51/230,441.79
  6. Step 6: Final answer
    x = 109,023.84

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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.