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Finding the Fourth Proportional to 68,257.36, 102,404.52 and 20,871.16

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Solution

The fourth proportional to 68,257.36, 102,404.52 and 20,871.16 is: 31,312.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,257.36 : 102,404.52 = 20,871.16 : x
  2. Step 2: Convert to fraction form
    68,257.36/102,404.52 = 20,871.16/x
  3. Step 3: Cross multiply
    68,257.36x = 102,404.52 × 20,871.16
  4. Step 4: Simplify right side
    68,257.36x = 2,137,301,121.64
  5. Step 5: Solve for x
    x = 2,137,301,121.64/68,257.36
  6. Step 6: Final answer
    x = 31,312.39

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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.