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Finding the Fourth Proportional to 220,127.30, 330,338.94 and 77,972.09

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Solution

The fourth proportional to 220,127.30, 330,338.94 and 77,972.09 is: 117,010.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,127.30 : 330,338.94 = 77,972.09 : x
  2. Step 2: Convert to fraction form
    220,127.30/330,338.94 = 77,972.09/x
  3. Step 3: Cross multiply
    220,127.30x = 330,338.94 × 77,972.09
  4. Step 4: Simplify right side
    220,127.30x = 25,757,217,170.32
  5. Step 5: Solve for x
    x = 25,757,217,170.32/220,127.30
  6. Step 6: Final answer
    x = 117,010.56

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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.