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Finding the Fourth Proportional to 230,379.78, 345,546.30 and 61,878.21

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Solution

The fourth proportional to 230,379.78, 345,546.30 and 61,878.21 is: 92,811.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,379.78 : 345,546.30 = 61,878.21 : x
  2. Step 2: Convert to fraction form
    230,379.78/345,546.30 = 61,878.21/x
  3. Step 3: Cross multiply
    230,379.78x = 345,546.30 × 61,878.21
  4. Step 4: Simplify right side
    230,379.78x = 21,381,786,516.12
  5. Step 5: Solve for x
    x = 21,381,786,516.12/230,379.78
  6. Step 6: Final answer
    x = 92,811.04

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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.