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Finding the Fourth Proportional to 67,381.86, 101,082.90 and 21,774.36

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Solution

The fourth proportional to 67,381.86, 101,082.90 and 21,774.36 is: 32,664.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,381.86 : 101,082.90 = 21,774.36 : x
  2. Step 2: Convert to fraction form
    67,381.86/101,082.90 = 21,774.36/x
  3. Step 3: Cross multiply
    67,381.86x = 101,082.90 × 21,774.36
  4. Step 4: Simplify right side
    67,381.86x = 2,201,015,454.44
  5. Step 5: Solve for x
    x = 2,201,015,454.44/67,381.86
  6. Step 6: Final answer
    x = 32,664.81

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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.