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Finding the Fourth Proportional to 136,945.60, 205,418.40 and 77,896.60

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Solution

The fourth proportional to 136,945.60, 205,418.40 and 77,896.60 is: 116,844.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,945.60 : 205,418.40 = 77,896.60 : x
  2. Step 2: Convert to fraction form
    136,945.60/205,418.40 = 77,896.60/x
  3. Step 3: Cross multiply
    136,945.60x = 205,418.40 × 77,896.60
  4. Step 4: Simplify right side
    136,945.60x = 16,001,394,937.44
  5. Step 5: Solve for x
    x = 16,001,394,937.44/136,945.60
  6. Step 6: Final answer
    x = 116,844.90

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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.