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Finding the Fourth Proportional to 67,876.63, 101,829.56 and 20,487.75

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Solution

The fourth proportional to 67,876.63, 101,829.56 and 20,487.75 is: 30,736.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,876.63 : 101,829.56 = 20,487.75 : x
  2. Step 2: Convert to fraction form
    67,876.63/101,829.56 = 20,487.75/x
  3. Step 3: Cross multiply
    67,876.63x = 101,829.56 × 20,487.75
  4. Step 4: Simplify right side
    67,876.63x = 2,086,258,567.89
  5. Step 5: Solve for x
    x = 2,086,258,567.89/67,876.63
  6. Step 6: Final answer
    x = 30,736.04

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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.