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Finding the Fourth Proportional to 89,702, 123,788.76 and 49,958

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Solution

The fourth proportional to 89,702, 123,788.76 and 49,958 is: 68,942.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,702 : 123,788.76 = 49,958 : x
  2. Step 2: Convert to fraction form
    89,702/123,788.76 = 49,958/x
  3. Step 3: Cross multiply
    89,702x = 123,788.76 × 49,958
  4. Step 4: Simplify right side
    89,702x = 6,184,238,872.08
  5. Step 5: Solve for x
    x = 6,184,238,872.08/89,702
  6. Step 6: Final answer
    x = 68,942.04

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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.