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Finding the Fourth Proportional to 89,696, 123,780.48 and 49,952

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Solution

The fourth proportional to 89,696, 123,780.48 and 49,952 is: 68,933.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,696 : 123,780.48 = 49,952 : x
  2. Step 2: Convert to fraction form
    89,696/123,780.48 = 49,952/x
  3. Step 3: Cross multiply
    89,696x = 123,780.48 × 49,952
  4. Step 4: Simplify right side
    89,696x = 6,183,082,536.96
  5. Step 5: Solve for x
    x = 6,183,082,536.96/89,696
  6. Step 6: Final answer
    x = 68,933.76

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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.