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Finding the Fourth Proportional to 205,814.74, 308,544.68 and 79,543.57

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Solution

The fourth proportional to 205,814.74, 308,544.68 and 79,543.57 is: 119,246.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,814.74 : 308,544.68 = 79,543.57 : x
  2. Step 2: Convert to fraction form
    205,814.74/308,544.68 = 79,543.57/x
  3. Step 3: Cross multiply
    205,814.74x = 308,544.68 × 79,543.57
  4. Step 4: Simplify right side
    205,814.74x = 24,542,744,779.20
  5. Step 5: Solve for x
    x = 24,542,744,779.20/205,814.74
  6. Step 6: Final answer
    x = 119,246.78

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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.