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Finding the Fourth Proportional to 68,047.11, 102,059.10 and 20,650.77

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Solution

The fourth proportional to 68,047.11, 102,059.10 and 20,650.77 is: 30,972.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,047.11 : 102,059.10 = 20,650.77 : x
  2. Step 2: Convert to fraction form
    68,047.11/102,059.10 = 20,650.77/x
  3. Step 3: Cross multiply
    68,047.11x = 102,059.10 × 20,650.77
  4. Step 4: Simplify right side
    68,047.11x = 2,107,599,000.51
  5. Step 5: Solve for x
    x = 2,107,599,000.51/68,047.11
  6. Step 6: Final answer
    x = 30,972.65

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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.