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Finding the Fourth Proportional to 67,941.34, 101,912.01 and 21,197.86

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Solution

The fourth proportional to 67,941.34, 101,912.01 and 21,197.86 is: 31,796.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,941.34 : 101,912.01 = 21,197.86 : x
  2. Step 2: Convert to fraction form
    67,941.34/101,912.01 = 21,197.86/x
  3. Step 3: Cross multiply
    67,941.34x = 101,912.01 × 21,197.86
  4. Step 4: Simplify right side
    67,941.34x = 2,160,316,520.30
  5. Step 5: Solve for x
    x = 2,160,316,520.30/67,941.34
  6. Step 6: Final answer
    x = 31,796.79

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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.