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Finding the Fourth Proportional to 205,773.41, 308,672 and 79,414.31

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Solution

The fourth proportional to 205,773.41, 308,672 and 79,414.31 is: 119,126.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,773.41 : 308,672 = 79,414.31 : x
  2. Step 2: Convert to fraction form
    205,773.41/308,672 = 79,414.31/x
  3. Step 3: Cross multiply
    205,773.41x = 308,672 × 79,414.31
  4. Step 4: Simplify right side
    205,773.41x = 24,512,973,896.32
  5. Step 5: Solve for x
    x = 24,512,973,896.32/205,773.41
  6. Step 6: Final answer
    x = 119,126.05

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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.