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Finding the Fourth Proportional to 68,168.52, 102,256.92 and 21,421.40

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Solution

The fourth proportional to 68,168.52, 102,256.92 and 21,421.40 is: 32,133.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,168.52 : 102,256.92 = 21,421.40 : x
  2. Step 2: Convert to fraction form
    68,168.52/102,256.92 = 21,421.40/x
  3. Step 3: Cross multiply
    68,168.52x = 102,256.92 × 21,421.40
  4. Step 4: Simplify right side
    68,168.52x = 2,190,485,874.80
  5. Step 5: Solve for x
    x = 2,190,485,874.80/68,168.52
  6. Step 6: Final answer
    x = 32,133.39

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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.