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Finding the Fourth Proportional to 66,947.76, 100,424.26 and 20,200.64

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Solution

The fourth proportional to 66,947.76, 100,424.26 and 20,200.64 is: 30,301.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,947.76 : 100,424.26 = 20,200.64 : x
  2. Step 2: Convert to fraction form
    66,947.76/100,424.26 = 20,200.64/x
  3. Step 3: Cross multiply
    66,947.76x = 100,424.26 × 20,200.64
  4. Step 4: Simplify right side
    66,947.76x = 2,028,634,323.53
  5. Step 5: Solve for x
    x = 2,028,634,323.53/66,947.76
  6. Step 6: Final answer
    x = 30,301.75

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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.