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Finding the Fourth Proportional to 66,931.20, 100,411.20 and 20,188.80

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Solution

The fourth proportional to 66,931.20, 100,411.20 and 20,188.80 is: 30,287.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,931.20 : 100,411.20 = 20,188.80 : x
  2. Step 2: Convert to fraction form
    66,931.20/100,411.20 = 20,188.80/x
  3. Step 3: Cross multiply
    66,931.20x = 100,411.20 × 20,188.80
  4. Step 4: Simplify right side
    66,931.20x = 2,027,181,634.56
  5. Step 5: Solve for x
    x = 2,027,181,634.56/66,931.20
  6. Step 6: Final answer
    x = 30,287.54

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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.