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Finding the Fourth Proportional to 55,997.70, 83,964.15 and 20,940.90

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Solution

The fourth proportional to 55,997.70, 83,964.15 and 20,940.90 is: 31,399.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,997.70 : 83,964.15 = 20,940.90 : x
  2. Step 2: Convert to fraction form
    55,997.70/83,964.15 = 20,940.90/x
  3. Step 3: Cross multiply
    55,997.70x = 83,964.15 × 20,940.90
  4. Step 4: Simplify right side
    55,997.70x = 1,758,284,868.74
  5. Step 5: Solve for x
    x = 1,758,284,868.74/55,997.70
  6. Step 6: Final answer
    x = 31,399.23

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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.