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Finding the Fourth Proportional to 68,629.06, 102,921.72 and 21,871

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Solution

The fourth proportional to 68,629.06, 102,921.72 and 21,871 is: 32,799.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,629.06 : 102,921.72 = 21,871 : x
  2. Step 2: Convert to fraction form
    68,629.06/102,921.72 = 21,871/x
  3. Step 3: Cross multiply
    68,629.06x = 102,921.72 × 21,871
  4. Step 4: Simplify right side
    68,629.06x = 2,251,000,938.12
  5. Step 5: Solve for x
    x = 2,251,000,938.12/68,629.06
  6. Step 6: Final answer
    x = 32,799.53

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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.