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Finding the Fourth Proportional to 38,827.20, 58,240.80 and 20,164.80

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Solution

The fourth proportional to 38,827.20, 58,240.80 and 20,164.80 is: 30,247.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,827.20 : 58,240.80 = 20,164.80 : x
  2. Step 2: Convert to fraction form
    38,827.20/58,240.80 = 20,164.80/x
  3. Step 3: Cross multiply
    38,827.20x = 58,240.80 × 20,164.80
  4. Step 4: Simplify right side
    38,827.20x = 1,174,414,083.84
  5. Step 5: Solve for x
    x = 1,174,414,083.84/38,827.20
  6. Step 6: Final answer
    x = 30,247.20

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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.