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Finding the Fourth Proportional to 68,021.76, 101,992.64 and 34,720

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Solution

The fourth proportional to 68,021.76, 101,992.64 and 34,720 is: 52,059.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,021.76 : 101,992.64 = 34,720 : x
  2. Step 2: Convert to fraction form
    68,021.76/101,992.64 = 34,720/x
  3. Step 3: Cross multiply
    68,021.76x = 101,992.64 × 34,720
  4. Step 4: Simplify right side
    68,021.76x = 3,541,184,460.80
  5. Step 5: Solve for x
    x = 3,541,184,460.80/68,021.76
  6. Step 6: Final answer
    x = 52,059.58

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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.