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Finding the Fourth Proportional to 89,700, 123,786 and 49,956

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Solution

The fourth proportional to 89,700, 123,786 and 49,956 is: 68,939.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,700 : 123,786 = 49,956 : x
  2. Step 2: Convert to fraction form
    89,700/123,786 = 49,956/x
  3. Step 3: Cross multiply
    89,700x = 123,786 × 49,956
  4. Step 4: Simplify right side
    89,700x = 6,183,853,416
  5. Step 5: Solve for x
    x = 6,183,853,416/89,700
  6. Step 6: Final answer
    x = 68,939.28

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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.