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Finding the Fourth Proportional to 67,754.40, 101,652.12 and 21,007.68

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Solution

The fourth proportional to 67,754.40, 101,652.12 and 21,007.68 is: 31,517.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,754.40 : 101,652.12 = 21,007.68 : x
  2. Step 2: Convert to fraction form
    67,754.40/101,652.12 = 21,007.68/x
  3. Step 3: Cross multiply
    67,754.40x = 101,652.12 × 21,007.68
  4. Step 4: Simplify right side
    67,754.40x = 2,135,475,208.28
  5. Step 5: Solve for x
    x = 2,135,475,208.28/67,754.40
  6. Step 6: Final answer
    x = 31,517.88

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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.