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Finding the Fourth Proportional to 123,879.84, 185,819.76 and 49,956

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Solution

The fourth proportional to 123,879.84, 185,819.76 and 49,956 is: 74,934.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,879.84 : 185,819.76 = 49,956 : x
  2. Step 2: Convert to fraction form
    123,879.84/185,819.76 = 49,956/x
  3. Step 3: Cross multiply
    123,879.84x = 185,819.76 × 49,956
  4. Step 4: Simplify right side
    123,879.84x = 9,282,811,930.56
  5. Step 5: Solve for x
    x = 9,282,811,930.56/123,879.84
  6. Step 6: Final answer
    x = 74,934.00

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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.