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Finding the Fourth Proportional to 205,539.70, 308,122.69 and 79,099.31

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Solution

The fourth proportional to 205,539.70, 308,122.69 and 79,099.31 is: 118,577.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,539.70 : 308,122.69 = 79,099.31 : x
  2. Step 2: Convert to fraction form
    205,539.70/308,122.69 = 79,099.31/x
  3. Step 3: Cross multiply
    205,539.70x = 308,122.69 × 79,099.31
  4. Step 4: Simplify right side
    205,539.70x = 24,372,292,174.34
  5. Step 5: Solve for x
    x = 24,372,292,174.34/205,539.70
  6. Step 6: Final answer
    x = 118,577.05

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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.