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Finding the Fourth Proportional to 66,968.64, 100,433.52 and 20,234.88

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Solution

The fourth proportional to 66,968.64, 100,433.52 and 20,234.88 is: 30,346.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,968.64 : 100,433.52 = 20,234.88 : x
  2. Step 2: Convert to fraction form
    66,968.64/100,433.52 = 20,234.88/x
  3. Step 3: Cross multiply
    66,968.64x = 100,433.52 × 20,234.88
  4. Step 4: Simplify right side
    66,968.64x = 2,032,260,225.18
  5. Step 5: Solve for x
    x = 2,032,260,225.18/66,968.64
  6. Step 6: Final answer
    x = 30,346.45

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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.