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Finding the Fourth Proportional to 109,463, 151,059 and 59,162

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Solution

The fourth proportional to 109,463, 151,059 and 59,162 is: 81,643.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,463 : 151,059 = 59,162 : x
  2. Step 2: Convert to fraction form
    109,463/151,059 = 59,162/x
  3. Step 3: Cross multiply
    109,463x = 151,059 × 59,162
  4. Step 4: Simplify right side
    109,463x = 8,936,952,558
  5. Step 5: Solve for x
    x = 8,936,952,558/109,463
  6. Step 6: Final answer
    x = 81,643.59

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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.