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Finding the Fourth Proportional to 68,040.64, 102,016.64 and 23,664

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Solution

The fourth proportional to 68,040.64, 102,016.64 and 23,664 is: 35,480.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,040.64 : 102,016.64 = 23,664 : x
  2. Step 2: Convert to fraction form
    68,040.64/102,016.64 = 23,664/x
  3. Step 3: Cross multiply
    68,040.64x = 102,016.64 × 23,664
  4. Step 4: Simplify right side
    68,040.64x = 2,414,121,768.96
  5. Step 5: Solve for x
    x = 2,414,121,768.96/68,040.64
  6. Step 6: Final answer
    x = 35,480.59

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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.