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Finding the Fourth Proportional to 137,227.88, 189,382.80 and 76,797.27

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Solution

The fourth proportional to 137,227.88, 189,382.80 and 76,797.27 is: 105,984.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,227.88 : 189,382.80 = 76,797.27 : x
  2. Step 2: Convert to fraction form
    137,227.88/189,382.80 = 76,797.27/x
  3. Step 3: Cross multiply
    137,227.88x = 189,382.80 × 76,797.27
  4. Step 4: Simplify right side
    137,227.88x = 14,544,082,024.96
  5. Step 5: Solve for x
    x = 14,544,082,024.96/137,227.88
  6. Step 6: Final answer
    x = 105,984.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.