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Finding the Fourth Proportional to 67,965.88, 101,945.22 and 21,213.40

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Solution

The fourth proportional to 67,965.88, 101,945.22 and 21,213.40 is: 31,818.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,965.88 : 101,945.22 = 21,213.40 : x
  2. Step 2: Convert to fraction form
    67,965.88/101,945.22 = 21,213.40/x
  3. Step 3: Cross multiply
    67,965.88x = 101,945.22 × 21,213.40
  4. Step 4: Simplify right side
    67,965.88x = 2,162,604,729.95
  5. Step 5: Solve for x
    x = 2,162,604,729.95/67,965.88
  6. Step 6: Final answer
    x = 31,818.98

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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.