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Finding the Fourth Proportional to 55,242.80, 82,842.60 and 20,164.40

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Solution

The fourth proportional to 55,242.80, 82,842.60 and 20,164.40 is: 30,238.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,242.80 : 82,842.60 = 20,164.40 : x
  2. Step 2: Convert to fraction form
    55,242.80/82,842.60 = 20,164.40/x
  3. Step 3: Cross multiply
    55,242.80x = 82,842.60 × 20,164.40
  4. Step 4: Simplify right side
    55,242.80x = 1,670,471,323.44
  5. Step 5: Solve for x
    x = 1,670,471,323.44/55,242.80
  6. Step 6: Final answer
    x = 30,238.72

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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.