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Finding the Fourth Proportional to 205,912.40, 308,868.60 and 72,791.60

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Solution

The fourth proportional to 205,912.40, 308,868.60 and 72,791.60 is: 109,187.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,912.40 : 308,868.60 = 72,791.60 : x
  2. Step 2: Convert to fraction form
    205,912.40/308,868.60 = 72,791.60/x
  3. Step 3: Cross multiply
    205,912.40x = 308,868.60 × 72,791.60
  4. Step 4: Simplify right side
    205,912.40x = 22,483,039,583.76
  5. Step 5: Solve for x
    x = 22,483,039,583.76/205,912.40
  6. Step 6: Final answer
    x = 109,187.40

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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.