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Finding the Fourth Proportional to 68,255.96, 102,380.18 and 20,871.02

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Solution

The fourth proportional to 68,255.96, 102,380.18 and 20,871.02 is: 31,305.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,255.96 : 102,380.18 = 20,871.02 : x
  2. Step 2: Convert to fraction form
    68,255.96/102,380.18 = 20,871.02/x
  3. Step 3: Cross multiply
    68,255.96x = 102,380.18 × 20,871.02
  4. Step 4: Simplify right side
    68,255.96x = 2,136,778,784.38
  5. Step 5: Solve for x
    x = 2,136,778,784.38/68,255.96
  6. Step 6: Final answer
    x = 31,305.38

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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.