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Finding the Fourth Proportional to 68,243.40, 102,385.08 and 20,213.28

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Solution

The fourth proportional to 68,243.40, 102,385.08 and 20,213.28 is: 30,325.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,243.40 : 102,385.08 = 20,213.28 : x
  2. Step 2: Convert to fraction form
    68,243.40/102,385.08 = 20,213.28/x
  3. Step 3: Cross multiply
    68,243.40x = 102,385.08 × 20,213.28
  4. Step 4: Simplify right side
    68,243.40x = 2,069,538,289.86
  5. Step 5: Solve for x
    x = 2,069,538,289.86/68,243.40
  6. Step 6: Final answer
    x = 30,325.84

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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.