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Finding the Fourth Proportional to 55,164.70, 82,768.65 and 20,107.90

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Solution

The fourth proportional to 55,164.70, 82,768.65 and 20,107.90 is: 30,169.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,164.70 : 82,768.65 = 20,107.90 : x
  2. Step 2: Convert to fraction form
    55,164.70/82,768.65 = 20,107.90/x
  3. Step 3: Cross multiply
    55,164.70x = 82,768.65 × 20,107.90
  4. Step 4: Simplify right side
    55,164.70x = 1,664,303,737.34
  5. Step 5: Solve for x
    x = 1,664,303,737.34/55,164.70
  6. Step 6: Final answer
    x = 30,169.72

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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.