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Finding the Fourth Proportional to 68,583.20, 102,856.80 and 29,120

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Solution

The fourth proportional to 68,583.20, 102,856.80 and 29,120 is: 43,672.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,583.20 : 102,856.80 = 29,120 : x
  2. Step 2: Convert to fraction form
    68,583.20/102,856.80 = 29,120/x
  3. Step 3: Cross multiply
    68,583.20x = 102,856.80 × 29,120
  4. Step 4: Simplify right side
    68,583.20x = 2,995,190,016
  5. Step 5: Solve for x
    x = 2,995,190,016/68,583.20
  6. Step 6: Final answer
    x = 43,672.36

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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.