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Finding the Fourth Proportional to 68,108.80, 102,114.60 and 30,638.20

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Solution

The fourth proportional to 68,108.80, 102,114.60 and 30,638.20 is: 45,935.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,108.80 : 102,114.60 = 30,638.20 : x
  2. Step 2: Convert to fraction form
    68,108.80/102,114.60 = 30,638.20/x
  3. Step 3: Cross multiply
    68,108.80x = 102,114.60 × 30,638.20
  4. Step 4: Simplify right side
    68,108.80x = 3,128,607,537.72
  5. Step 5: Solve for x
    x = 3,128,607,537.72/68,108.80
  6. Step 6: Final answer
    x = 45,935.44

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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.