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Finding the Fourth Proportional to 151,638, 227,457.92 and 67,378.36

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Solution

The fourth proportional to 151,638, 227,457.92 and 67,378.36 is: 101,067.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,638 : 227,457.92 = 67,378.36 : x
  2. Step 2: Convert to fraction form
    151,638/227,457.92 = 67,378.36/x
  3. Step 3: Cross multiply
    151,638x = 227,457.92 × 67,378.36
  4. Step 4: Simplify right side
    151,638x = 15,325,741,281.72
  5. Step 5: Solve for x
    x = 15,325,741,281.72/151,638
  6. Step 6: Final answer
    x = 101,067.95

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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.