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Finding the Fourth Proportional to 67,517.88, 101,290.32 and 20,769

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Solution

The fourth proportional to 67,517.88, 101,290.32 and 20,769 is: 31,157.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,517.88 : 101,290.32 = 20,769 : x
  2. Step 2: Convert to fraction form
    67,517.88/101,290.32 = 20,769/x
  3. Step 3: Cross multiply
    67,517.88x = 101,290.32 × 20,769
  4. Step 4: Simplify right side
    67,517.88x = 2,103,698,656.08
  5. Step 5: Solve for x
    x = 2,103,698,656.08/67,517.88
  6. Step 6: Final answer
    x = 31,157.65

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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.