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Finding the Fourth Proportional to 164,682.80, 227,262.42 and 89,231.30

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Solution

The fourth proportional to 164,682.80, 227,262.42 and 89,231.30 is: 123,139.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,682.80 : 227,262.42 = 89,231.30 : x
  2. Step 2: Convert to fraction form
    164,682.80/227,262.42 = 89,231.30/x
  3. Step 3: Cross multiply
    164,682.80x = 227,262.42 × 89,231.30
  4. Step 4: Simplify right side
    164,682.80x = 20,278,921,177.75
  5. Step 5: Solve for x
    x = 20,278,921,177.75/164,682.80
  6. Step 6: Final answer
    x = 123,139.28

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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.