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Finding the Fourth Proportional to 273,081.75, 409,691.75 and 76,089.75

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Solution

The fourth proportional to 273,081.75, 409,691.75 and 76,089.75 is: 114,153.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,081.75 : 409,691.75 = 76,089.75 : x
  2. Step 2: Convert to fraction form
    273,081.75/409,691.75 = 76,089.75/x
  3. Step 3: Cross multiply
    273,081.75x = 409,691.75 × 76,089.75
  4. Step 4: Simplify right side
    273,081.75x = 31,173,342,454.11
  5. Step 5: Solve for x
    x = 31,173,342,454.11/273,081.75
  6. Step 6: Final answer
    x = 114,153.88

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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.