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Finding the Fourth Proportional to 205,744.14, 308,629.88 and 79,385.96

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Solution

The fourth proportional to 205,744.14, 308,629.88 and 79,385.96 is: 119,084.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,744.14 : 308,629.88 = 79,385.96 : x
  2. Step 2: Convert to fraction form
    205,744.14/308,629.88 = 79,385.96/x
  3. Step 3: Cross multiply
    205,744.14x = 308,629.88 × 79,385.96
  4. Step 4: Simplify right side
    205,744.14x = 24,500,877,368.41
  5. Step 5: Solve for x
    x = 24,500,877,368.41/205,744.14
  6. Step 6: Final answer
    x = 119,084.21

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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.